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Free Algebra Calculator

Step-by-step calculator and algebra solver.

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Algebra Solver to Check Your Homework

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Tiger Algebra Calculator

Absolute value.

  • Absolute value equations
  • Absolute value inequalities
  • Absolute value problems made easy
  • Absolute value equations with two term

Basic Techniques

  • Canceling out
  • Identifying perfect cubes
  • Pulling out like terms
  • Reducing fractions to lowest terms
  • Simplifying radicals
  • Square root of fraction or number by prime factorization
  • Graphing an ordered pair on a coordinate plane
  • Long addition
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  • Solving word problems by rewriting information as equations

Calculators

  • Basic complex operations
  • Find prime factors
  • Greatest common factor
  • Least common multiple (LCM)
  • Order of operations
  • Square root simplifier
  • Finding a molecular mass

Coming Soon

  • Converting weights using mass
  • Properties of parabolas
  • Formatting guide
  • Dividing exponents
  • Exponential equations
  • Multiplying exponents
  • Powers of i
  • Raising to a power
  • Scientific notation
  • Operations with numbers in scientific notation

Factorization

  • Factoring binomials as difference of squares
  • Factoring binomials as sum or difference of cubes
  • Factoring multivariable polynomials
  • Factoring polynomials with four or more terms
  • Factor trinomials
  • Other factorizations
  • Polynomial long division
  • Polynomial root calculator
  • Dividing fractions
  • Multiplying fractions
  • Operations with fractions
  • Circle from equation
  • Properties of circles
  • Distance between two points
  • Find area of triangle given by its 3 sides
  • Finding a perpendicular line
  • Line Equation From Point And Slope
  • Midpoint of two points
  • Trigonometry
  • Finding a parallel line
  • Properties of ellipses
  • Circles from Equations
  • Perpendicular lines with point-slope intercept mode
  • Parallel lines with point-slope intercept mode

Nonlinear Equations and Approximation and Inequalities

  • Approximation
  • De Moivre formula
  • Linear inequalities
  • Nonlinear equations
  • Solving radical equations

Quadratic Equations

  • Equations which are reducible to quadratic
  • Parabola finding vertex and X intercepts
  • Quadratic Inequalities
  • Solving quadratic equations by completing the square
  • Solving quadratic equations using the quadratic formula
  • Solving quadratic equations by factoring
  • Quadratic equations by completing the square

Series and Progressions

  • Arithmetic sequences
  • Domain range and relation from ordered pairs
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  • Linear equations with four unknowns
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  • Solving linear equations by substitution
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Brackets (Parentheses)

Brackets are symbols used in pairs to group things together.

When we see things inside brackets we do them first (as explained in Order of Operations ).

Example: (3 + 2) × (6 − 4)

The parentheses group 3 and 2 together, and 6 and 4 together, so they get done first:

Without the parentheses the multiplication is done first:

3 + 2 × 6 − 4 = 3 + 12 − 4 = 11 (not 10)

With more complicated grouping we can use different types of brackets :

Example: [(3 + 2) × (6 − 4) + 2] × 4

The parentheses group 3 and 2 together, and 6 and 4 together, and the square brackets tell us to do all the calculations inside them before multiplying by 4:

Curly Brackets

Curly brackets {} are used in Sets :

Example: {2, 4, 6, 8}

Is the set of even numbers from 2 to 8

Angle Brackets

Angle brackets 〈 〉 are used in Bra-Ket Notation .

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Algebra Calculator: An App that Can Shape Your Future

Mathematics is regarded as the monster that haunts the dreams of countless students from all around the world. Whether you’re in middle school, high school, college, or even starting out with your job, chances are the idea of solving math problems sends shivers down your spine every time.

One field that’s particularly known (and often feared) by math students is algebra . The great frustration that this subject spreads is mainly due to the fact that it mixes numbers, letters, and symbols in equations and formulas, thus making them look more complicated than they really are.

If you have some algebra homework that you need to solve, or need to help your kid with a complicated problem or equation, you can use our algebra math calculator, which is an app designed to help students understand their mistakes and get over them through continuous practice.

First, Why Do You Need to Learn Algebra?

Instead of listing the arguments that support learning algebra, we’re going to debunk the arguments that are against this amazing mathematical field.

Why Learn Algebra If I’m Not Considering College?

In the past, teachers used to accord students into “convenient” culture-based tracks, thereby minimizing the chances of many children of attending college before they’d even start high school.

Are you an Asian student? You should study math.

Are you an African-American student? You’re better off mastering basketball.

Are you a white American student? Maybe try with history or art.

Basically, anyone who wasn’t regarded as smart enough would be appointed to what you’d call “ consumer math ” — the low-tier math that is often thought of to be appropriate for average students.

Thankfully, those days are over, and education is now free to all. It would be horrible to see a second rise of the days in which one’s role in life was decided based on their name, skin color, or social status.

Even if you’re not considering college, don’t limit your potential by classifying yourself as “not smart enough” and therefore assuming that you’ll find no use for algebra.

Studying Algebra is Stupid

Have you ever asked yourself why do people always complain about math and science? Is it because they require a lot of discipline and dedication? Or because they’re difficult to understand?

Have you ever noticed that no one asks why you have to take physical education or English literature classes, even though math, physics, and science are much more critical to the founding of the modern society than Shakespeare or the techniques of shooting a three-pointer?

Education has to be fun, easy, and entertaining in order for it to be acceptable, or so says the modern American educationist philosophy.

Today’s students believe that if a subject requires some effort, they shouldn’t have to take it. Little do they know that the most beneficial things in life demand making some effort.

If you want an excellent job, an alluring career, a limitless future, you’ll most definitely be in need of some mathematical skills, and when you say math, you say algebra.

Have you ever thought about why do you hit the gym regularly? Is it because lifting weights is effortless? Or because you want to get better, challenge yourself, build your strength, and prepare your body for whatever you might encounter in life?

Why do people cycle or jog? Is it because it’s fun to sweat bullets and get knee soreness? If I were to guess I would say that they do it because they want to be healthy and strong in order to resist diseases and be ready for whatever health obstacle life may throw their way.

If you want your mind and brain to be sharp as well, you have to train it and prepare it for real-life problems.

So, our only advice here is to practice, practice, and practice, and if you ever find yourself stuck, remember that our calculator for algebra is here to help you get over any obstacle during your math-learning journey.

I’m Only Taking Algebra Because the Uni Forced Me

Let’s be clear for a moment; the dean didn’t put a knife on your throat to force you to enroll. You, and only, are the one who decided to join to get your diploma.

Perhaps you wanted to get a great job, and in order for you to get it, you needed some mathematical skills that include algebra.

Maybe you won’t have to factor any quadratic for the rest of your life, but you do need your diploma, and you have to do whatever it takes to obtain it.

The algebra class is necessary to pass if you want to achieve that goal. If you decide to skip it, it’s all right, but you won’t get that degree of yours. It’s your decision after all.

My Career Won’t Require Algebra

One of the many differences between a college graduate and a trained employee is the student’s capability of a deeper understanding of the situation and a better ability to build links and connections and acquire new skills.

You certainly won’t need everything you learned in algebra, but does this imply that you should drop out of your college and only get the training that’s required for the job you seek to take?

I’m sure your answer goes along the lines of “I can’t afford to drop out, I can’t be qualified for that job without a college diploma or degree”.

So, in order for you to get your dream job, you need to prove yourself and capabilities through a particular skill set, but to really display that proficiency, you need a college degree. To obtain that degree, you need algebra. Algebra, in other words, is a must if you want the job.

Math people have a common saying that goes along the lines of “one truly learns arithmetic and pre-algebra in algebra and algebra and trigonometry in calculus”. The meaning behind all of this is that one truly gets a better understanding of a specific material once they have to use it in different situations.

So, even if you’re right, even if you turn out after a thirty or forty-year career, never to have resorted to algebra problem-solving skills, it’s still a brilliant idea to have gone through this class before beginning your career. Why? Because algebra is essential for real-life problems, be it by performing basic arithmetic operations, understanding negative numbers, or working with percentages.

Take your algebra class, practice using our algebra simplify calculator, and you’re bound to master those skills.

Will I Really Need Algebra in Real Life?

Sadly, we cannot answer that question for you. It’s not a simple yes-or-no situation.

Think of the rate of “non-traditional” students retaking math classes, and all the old people returning to uni after years of dropping out, even though they don’t need algebra for their jobs.

The very fact that they are studying algebra all these years after high school highly indicates that they haven’t used algebra a lot since the time they finished their studies. They made it this far without needing algebra, but here they are returning back to the very college seats they abandoned years ago because they felt the necessity of such a subject.

Take into consideration that you didn’t learn the alphabet back in kindergarten because you knew you’d be studying Shakespeare’s plays this year. The same goes for algebra; you don’t study it because you know that you’ll be interpreting graphs and working with quadratics in a few years, you study it to build the cornerstone for bigger things to come, and to help create better opportunities for yourself in the future.

Algebra is the key to various domains no matter how big or small they are.

For instance, let’s assume that your job requires working with spreadsheets filled with formulas. For that, you need a basic understanding and enough knowledge of variables and equations.

Also, if you find yourself in a meeting that involves working with graphs, charts, and tables, you’ll need to interpret them in an intelligent manner if you’re looking to stand your ground during the discussion. The only way to do so is by having the least of knowledge in algebra.

How Relevant Will Algebra Be in the Years to Come?

It’s undeniable that jobs will require different skill-sets in twenty or thirty years from now, but the only thing that’ll remain constant is mathematics. One plus one will always equal two.

Sure, you’ll receive the required training for any job you’ll get, but you still need a decent knowledge and skillset to get that job in the first place. To be on pace with the progress, to remain on top of the ladder, and to open up for better future opportunities, you need the strong foundation that mathematics provides.

The lessons and patterns taught by mathematics are vital. Learning formulas and variables, interpreting graphs and tables, and thinking logically to find solutions are essential skills that will prove to be useful for the rest of your life. They are not things that you learn in school just to pass a test; they’re an arsenal of capabilities that, if mastered, will yield great results for both your professional and personal life.

So, that’s it; those are the reasons why learning and studying algebra is essential no matter where you are in your educational (or professional) ladder.

Why Use Our Algebra Calculator?

While it’s possible to get by using a standard scientific calculator, using our Algebra Calculator can be a better choice if:

  • You need an algebra calculator with steps

I wish I could find an algebra calculator that shows work when I was younger. That would’ve made my math journey a lot easier.

Whether you’re trying to solve your homework, verify your answer, or help your kid with his/her assessment, getting your hands on a calculator that can show the work needed to get to the result can be highly beneficial, as that’s a great way to identify your mistakes and work on improving them.

Just remember to work on your own before checking the solution. Otherwise, you’d only be cheating yourself (or your kid).

  • You need an online algebra calculator

While there are many downloadable calculator apps available on the internet, there’s still a great chance that they’re not compatible with your device.

Being an online app, our matrix algebra calculator can work on any smartphone, tablet, or computer as long as it has a decent internet connection.

  • You need a free algebra calculator

We all know how expensive a tutor can be, and while a scientific calculator doesn’t cost that much, it cannot help you identify your mistakes as it’s only programmed to display the result.

Our tool, on the other hand, gets you the best of both worlds, a free alternative to both tutors and scientific calculators that can solve any equation you throw at it while showing you the step-by-step process that led to the result to help you better understand your errors.

  • You need a function-oriented calculator

Trying to get a grasp of a scientific calculator can be a real pain in the neck, which raised the need for a function-oriented app that focuses on specific applications.

So, whether you want an algebra square root calculator, an algebra factor calculator, or a simplify boolean algebra calculator, Mathway’s tool got you covered.

Why Is Our Algebra Calculator Online?

I believe this is self-explanatory. Gone are the days when people used to find offline solutions for their problems. The online era began some years ago, and it isn’t going to end any time soon.

Being an online tool, our fraction algebra calculator can be accessed from anywhere as long as you have an internet connection, and you don’t need to download or install anything to run it, making it compatible with any device.

On the train and want to practice some problem-solving? Pull your phone and do so.

Watching a movie on your laptop and remembered your homework? Open a browser tab, access our app, and work on your assessment.

Want your kids to do something useful with their tablets? Bookmark our app’s page and reward them whenever they solve a problem correctly.

As you can clearly see, it’s only natural for our tool to be an online one.

Why Is Our Algebra Calculator Free?

Have you had any math problems keeping you up at night? Well, if you do, you’ve hopefully found the place that’s going to give you the solution for more than just one problem. Here, we are presenting you with the tool that will make your algebra worries a thing of the past.

We couldn’t help but notice all the students’ frustration over their math homework. Not only does it make school work dull and unexciting, but it also deters youngsters from seeking knowledge with the passion that they need to have. So for all the tired mathematical souls across the globe, we bring you a service that will hopefully boost your level and improve your skills in all-things algebra. Here is the online, free to use algebra calculator you’ve been waiting for.

What Can Be Done with This Algebra Calculator?

Well, there’s no way around it really but to say it as it is: This app will give you the ability to do, pretty much, everything you can imagine when it comes to algebra. Primarily, it can work as a:

  • Linear algebra calculator
  • Algebra 1 calculator
  • Algebra 2 calculator
  • College algebra calculator
  • Step by step algebra calculator
  • Algebra graphing calculator
  • Algebra answers calculator
  • Boolean algebra calculator
  • Algebra factoring calculator
  • Algebra equation calculator

Because it packs a lot of versatile tools and seeing how it is suitable for different levels of education, this calculator isn’t just a good one for algebra; it’s probably the best algebra calculator out there. It even doubles as a pre algebra calculator among others, can you believe that?

Which Symbols Does the Algebra Fraction Calculator Use?

Access the app and take a quick look at the display on this thing. You’ll be able to see that it comes with a wide range of buttons and symbols. Sure, a bunch of them can be found on any regular calculator you can get your hands on, but you’ll also notice a number of other tools, uniquely made for this specific app.

The list is too long to be included entirely, but rest assured knowing that this app provides things like square roots, exponents, fractions, absolute value, parenthesis, division sign, rectangular pyramids, cylinder, trapezoid, triangle, equal to or less than, etc. I think that’s enough things to list to prove just how versatile this app is.

It’s a magnificent tool for doing math relating to pre-calc and algebra 2, and it’s also the best graphing calculator you can find for algebra.

It can be very useful for answer verification, testing, and homework because of its incredible multi-functionality. It offers the user a chance to test their own abilities and knowledge in mathematical fields.

Wherever you are and whenever you feel the need to give yourself a challenge, take your phone and open the app to evaluate yourself. You don’t even need to bring your own problems as you’ll find a list of them included with the app.

How to Use Our Math Algebra Calculator?

Finding a book on how to use a calculator for beginners is highly unlikely. Going through endless search results on the matter would be as tiresome as trying to solve a mathematical problem. Because of that, we’ll try to help you out by giving you a quick and simple walkthrough of how to use the app just to save you some time. The app is very easy to use, as long as you know the following:

  • You’ll find existing examples for you to use in typing your mathematical expression. Or if you’d like, you can do so manually through the symbols.
  • Of course, you’ll want to see the expression in the usual mathematical format. For that, you would have to click on the “show” button. In case you stumble upon any issues, click the “?” for help.
  • The app is programmed to figure out what kind of problem you have through the expression that you’ve typed in. But in case it doesn’t get the correct type, you have the option to choose it by yourself
  • Clicking the “Answer” button will get the app to do its problem-solving. You just sit there and wait.

And voila, you have your answer. All you have to do now is check the answer to verify your attempt at solving the problem and compare it with the result given by the app. This is a helpful method for identifying your mistakes and avoiding them in the future. If you need to see the full steps, you’ll need to sign up for Mathway.

Remember, don’t check the result until you’ve tried solving the problem yourself. This app was designed to help you understand your mistakes and get over the obstacles that may come your way, not to do your work for you.

Who Are the Creators of the Mathematics Algebra Calculator?

This is the innovative creation of the folks at Mathway. The reason we have it here on our page to make it easily accessible to everyone. A simple sign up is required for unlocking all of the utilities of the app, but that won’t be a big deal. The process is rather simple and short. If you’re under 18, be sure to get parental approval before signing up for the Mathway algebra calculator.

Final Thoughts

This doesn’t really need any more praise. The app speaks for itself. It’s time for all students to surpass the obstacles that they face daily because of tedious algebra problems and this app can help do that. Whenever you need, come to our website, start the app and train to become a better problem-solver. This algebra graphing calculator will make sure of that.

Welcome to the algebra calculator, an incredible tool that will help double-check your work or provide additional practice to prepare for tests or quizzes.

Homework Check: Our algebra calculator can help you check your homework. Simply enter your problem and click Answer to find out if you worked the problem correctly. Now, I hope you realize that if you simply put your homework problems into the calculator and copy the answer down, you’re cheating yourself in the long run because you haven’t really learned anything. In order to do well on your upcoming tests and quizzes, you need to understand where the answer came from. That way, you can find your mistakes and learn how to complete the problems correctly. That’s why we’re encouraging you to sign up for Mathway, a supportive tool which provides you with the complete steps used to solve each problem. Ask your parents about it – it’s much cheaper than tutoring and will be a good investment in your future. Just click View Steps on the answer page to sign up.

Prepare for tests and quizzes by practicing extra problems. Simply locate a topic you wish to review in the Examples section of the calculator. An example problem will appear in the calculator. (If you’re confused by the notation in the box, click the Show button. This shows the problem in the standard mathematical format.) Solve the problem on a separate sheet of paper and write down your answer. Then check your answer using the calculator – just make sure the Select Topic section matches what you’re practicing. If you got the answer correct, great! If not, you’ll want to view the steps in order to find your mistake. Sign up for Mathway (or ask your parents to sign you up) and you’ll be able to find your errors and see how to complete the problem correctly. It’s definitely worth the investment as you can use this calculator to prepare for tests for the rest of the year.

How to Use the Calculator

1. Enter the problem either using the symbols or by starting with an example.

2.  You can make sure you entered your problem correctly by clicking the  Show  button next to  Math Format . This will show your problem in the format you’re used to seeing. If it looks wrong and you need more help, click the  ?  Box next to the  Enter Problem  field.

3. The  Select Topic dropdown will automatically populate with the most common type of problem, but if you want the calculator to do something different, just choose the correct option from the dropdown.

4.  Click  Answer  to view the answer.

5.  In order to see the steps, sign up for Mathway.

Using an example:

Scroll through the topics to find the type of problems you are wanting to check or practice. This will provide an example in the calculator so that you can see how it is formatted. You can then change the numbers or variables to fit the problem you are trying to check.

Using the Symbols

algebra-calculator-parentheses

Fractions – Type the numerator and denominator inside the parenthesis that will come up. To create a mixed number, delete the parenthesis and put a space between the whole number and the numerator of the fraction. For example, for 2¼ type 2 1/4.

algebra-calculator-exponents

Subscripts – Your variable goes outside the bracket and the subscript inside. For example, x 1 would be x[1]. Remember that subscripts are used to specify which variable you are using.

algebra-calculator-square-root

Note: If no index is given, it is assumed to be two and is just called a square root.

algebra-calculator-matrices

Type the number inside the parenthesis. A logarithm with no subscript (such as the one seen here) answer the question “10 to what power equals the number given.” For example, the answer to log 100 is 2 because 10 to the 2 nd power equals 100.

algebra-calculator-logarithm-different-base

Note: If no subscript (base) is given, the base is assumed to be 10.

algebra-calculator-greater-than-equal-to

Math Study Tips

Practice a little bit every day

Don’t wait to cram the night before a big test – you’ll be overwhelmed and you won’t remember as much. Instead, practice a little bit each night. You’ll find that when test time comes around, you already know most of the material and just need to review. Talk about relieving stress!

Write down questions for your teacher

As you practice, write down any questions to which you can’t find the answer and ask your teacher about it the next day in class. Having a written-down question will help you remember exactly what you wanted to ask and will also help your teacher to be able to answer your question quickly.

Work with a friend

Practice problems with a friend so that you can help correct each other’s mistakes. It also makes learning a lot more fun when you’re working together – just make sure you don’t get distracted.

Find your mistakes

When you get a problem wrong, don’t just say “oh well” and try another one. The key to becoming proficient in math is finding and learning from your mistakes. If you don’t figure out what you did wrong, you will likely continue to make the same error. If you can’t find your mistake on your own, ask a friend, teacher, or parent for help. Or, sign up for Mathway – this will show you step-by-step how to work the problem correctly so that you can figure out where you went wrong.

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Expand Expression

Instructions: Use this Algebra calculator to expand an expression you provide, showing all the relevant steps. Please type in the expression you want to expand in the box below.

algebra calculator brackets

Expanding Expressions

This expand calculator will allow you expand an expression you provide, showing all the relevant steps. It can be a relatively simple expression like 2(x-1)^2, or it could be something more complex involving some compounded functions .

Once a valid expression is provided, then all that is left to do is to click "Calculate" in order to get the results, with all the relevant steps shown, showing how to arrive to the final answer.

Fractions algebra involves fraction conversion such as the use of common denominator, and the use of basic arithmetic rules. All in all, the process of the calculation can be laborious, although it can be done systematically, without much of a problem.

Expand Expression

What does it mean to expand an expression?

To large extent, expanding an expression is kind of the opposite to simplifying an expression , but there is more to it, as the terms are tangled with each other.

For example, if you have the expression:

how would you expand it? By the meaning of the word, you could think you are trying to make the expression as big as possible, as "expanded" as possible. Under that light, you could say, we have the following expansion:

I don't know about you, but to me that feels a bit incomplete: would you want to leave the part "2 - 3" without processing? I would not, I would instead do

So as you can see, there is a bit of simplification in this expansion process. So, it is not totally true that expanding is the opposite to simplifying. Expanding an expression consists of following PEMDAS rules to distribute terms, and then it involves a simplification of expressions part.

How do I expand an expression or an equation?

The expansion process, as we mentioned before, it is not just about making the term "as expanded as possible", but it is a mix of distributing and simplifying terms. But also there is a level of granularity you need to decide on, because distributions are not the only possible expansions to make.

For example, we can think of operations with radical expressions . Suppose that you are dealing with some simple expression like

How would you expand that? Would you do this expansion?

Though that is a valid operation, some people would question its sense saying "why would you expand an expression that is already perfectly simplified". But there are some valid uses, for example, you may have a \(\sqrt y\) in the denominator, in which case you would have

which also leads to the following question, which one is the "correct" expansion: \(\displaystyle \frac{\sqrt{xy}}{\sqrt{y}} = \displaystyle \frac{\sqrt{x} \sqrt{y}}{\sqrt{y}}\) or \(\displaystyle \frac{\sqrt{xy}}{\sqrt{y}} = \sqrt{x}\)?

Hope these points have helped you realize that there is not one unique way of expanding an expression. You should follow the following steps when needing to expand a term:

  • Step 1: Identify the granularity of your expanding process: will you expand by distributing only, or will you expand terms like radicals using the rules of radicals, trigonometric expression (using trigonometric identities), exponential expressions (using the power rule), logarithmic expressions , etc.
  • Step 2: Once you have decided on the granularity of the expression expansion you will commit to, you need to follow the corresponding PEMDAS rules that will govern such expansion, paying attention to the priority rules established by PEMDAS
  • Step 3: Once your expression is expanded according the previous steps, you need to group like terms if needed, conducting a "simplification of the expansion".
  • Step 4 : Ready. You now have found the expanded expression?

Most of the computer algebra systems around (CAS) such as Mathematica, Sage, Octave, etc use different criteria when expanding and simplifying, leading to different final outcomes often times.

How do you expand exponentials?

Like we mention before, it all depends on the granularity of the expansion: this is, what type of expression are you wanting to expand, only distribution of multiplications and additions, or will you include other types.

For the case of exponentials, for example, it follows directly the power rule which state that

which gives you right there the expansion you are looking for.

 Expression Expansion

How do you expand a polynomial?

Polynomials are typically expanded by using the distribution property. For example, you may want to expand this product of polynomials:

By applying the distributive property, we find that

As you can see, expanding polynomials involves a relatively simple use of the distributivity rule. Things can definitely get more complex when mixing different types of expressions, but this expand expression calculator will deal not only with polynomials but also with the combination of different types of expression, with specific rules to be expanded.

Other common type of expansion for polynomials is based on the binomial expansion theorem , which tells you how to expand a power like \((x+y)^n\). As you can see, the plot thickens, and things can get complex indeed.

Why would you want to expand an expression?

There are many reasons, including to cancel out terms, but not only that, as we can often times expand expression to understand its structure and properties a little better.

The question of how to simplify an expression and how to expand an expression could appear at first light as opposite, but we have seen that they actually go hand to hand, and they intertwine.

 Expression Calculator

Example of an expression in expanded form

Put the following expression in expanded form \(\frac{x^2}{y} ( \ln(xy)) \)

Solution: Let's assume that we have decided to expand all types of expressions, including logarithmic equations. In this case the expression we are dealing with has a fraction term that cannot be expanded in any meaningful way, but the logarithmic part can be expanded as \(\ln(xy) = \ln(x)+\ln(y)\). So then we get

which leads to the expression in expanded form.

Other useful Algebra calculators

Simplifying and expanding expressions are two complementary operations rather than opposite operations. You need them both to conduct Algebra at an efficient level. For example, you may want to use an equation simplifier to simplify equation, which a priori implies making the equations easier to solve, a practical ability to have.

Indeed, solving equations is one of the most crucial abilities in Algebra, and you need to have complete fluency of the process of expanding and simplifying, as well as reducing and augmenting. All of those abilities will come in handy.

Expanding can be crucial in other context, for example, when using the binomial theorem , so to break down which components a term has to, for example, match them one by one with another expression .

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Math Tutorial 6.2 - Expanding Brackets

Please provide a rating , it takes seconds and helps us to keep this resource free for all to use

There are 7 lessons in this math tutorial covering Expanding Brackets . The tutorial starts with an introduction to Expanding Brackets and is then followed with a list of the separate lessons, the tutorial is designed to be read in order but you can skip to a specific lesson or return to recover a specific math lesson as required to build your math knowledge of Expanding Brackets . You can access all the lessons from this tutorial below.

In this Math tutorial, you will learn:

  • What happens to the terms in brackets if we remove them?
  • What does 'expanding brackets' mean?
  • How to expand brackets when a number multiplies an expression in brackets.
  • How to expand brackets when they are divided by a number or a non-zero variable.
  • How to apply the sign rule correctly.
  • How to expand two brackets multiplied together.
  • What to do when there are more than two brackets multiplied together.

Introduction

In the previous tutorial, we discussed about the BEDMAS (or PEMDAS) rule which is also applicable in algebraic expression . The first step when applying this rule is to deal with the part of expression inside the brackets. Therefore, brackets are widely used in arithmetic expressions and in algebraic ones as well.

In this tutorial, we will learn how to expand brackets, i.e. how to obtain a final equivalent expression with no brackets involved if the original expression contains brackets. This process requires the proper use of division or multiplication operations, as well as the correct application of the sign rules.

Please select a specific "Expanding Brackets" lesson from the table below, review the video tutorial, print the revision notes or use the practice question to improve your knowledge of this math topic.

Whats next?

Enjoy the "Expanding Brackets" math tutorial? People who liked the "Expanding Brackets" tutorial found the following resources useful:

  • Math tutorial Feedback. Helps other - Leave a rating for this tutorial (see below)
  • Expressions Video tutorial: Expanding Brackets . Watch or listen to the Expanding Brackets video tutorial, a useful way to help you revise when travelling to and from school/college
  • Expressions Revision Notes: Expanding Brackets . Print the notes so you can revise the key points covered in the math tutorial for Expanding Brackets
  • Expressions Practice Questions: Expanding Brackets . Test and improve your knowledge of Expanding Brackets with example questins and answers
  • Check your calculations for Expressions questions with our excellent Expressions calculators which contain full equations and calculations clearly displayed line by line. See the Expressions Calculators by iCalculator™ below.
  • Continuing learning expressions - read our next math tutorial: Special Algebraic Identities Obtained through Expanding

Help others Learning Math just like you

We hope you found this Math math tutorial "Expanding Brackets" useful. If you did it would be great if you could spare the time to rate this math tutorial (simply click on the number of stars that match your assessment of this math learning aide) and/or share on social media, this helps us identify popular tutorials and calculators and expand our free learning resources to support our users around the world have free access to expand their knowledge of math and other disciplines.

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expand and simplify an algebraic expression online

  • {{expression_calculee}}

Do a new calculation with : expand_and_simplify

  • expand_and_simplify(`(3+4)*2`) returns 14
  • expand_and_simplify(`x*(x+2)`) returns `2*x+x^2`

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Expand and simplify an algebraic expression online

Online calculator that allows you to expand and reduce an algebraic expression.

Expand expression, it is transformed into algebraic sum. Reduce expression is simplified by grouping terms. The online calculator helps to e expand and reduce all forms of algebraic algebraic expressions online , it also helps expand and simplify the special expansions online.

Expand and simplify an expression

The calculator helps expand and simplify expression online , to achieve this, the calculator combines simplify calculator and expand calculator functions. It is for example possible to expand and simplify the following expression `(3x+1)(2x+4)`, using the syntax :

  • expand_and_simplify((3x+1)(2x+4))
  • The expression in its expanded form and reduced `4+14*x+6*x^2` be returned.

expand_and_simplify(expression) , expression is the expression to expand.

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  • Expand calculator : expand . Calculator is able to expand an algebraic expression online and remove unnecessary brackets.
  • Expand and simplify an algebraic expression online : expand_and_simplify . Online calculator that allows you to expand and reduce an algebraic expression.
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With the goal of bringing attention to innovative efforts transforming how math education is delivered in schools, we’ve convened a plucky panel of three expert judges, each with their own critical lens on K-12 education policy.

Chad Aldeman writes for EduProgress and The 74 and formed his March Math ness bracket by evaluating each program for strong implementation, scalability and evidence. Jocelyn Pickford, writing for CurriculumHQ , weighs the contenders with eyes focused on the use of high-quality instructional materials and meaningful teacher and family engagement. AssessmentHQ’s Dale Chu rounds out the judges’ table with a focus on responsible use of data and strong student outcomes.

The tournament began with a Sweet Sixteen lineup representing a diverse range of approaches to improving math achievement. From statewide comprehensive reforms in states like Alabama, Kentucky, Arkansas and Colorado to the widespread use of innovative learning platforms like Zearn and the AI-powered Khanmigo, the tournament narrowed to an Elite Eight. Three state bills and the use of Zearn across four states advanced alongside novel tutoring approaches from Texas and New Jersey, a policy of automatic enrollment in advanced math courses out of North Carolina and Texas, and a statewide math fund in Kentucky focused on professional learning and coaching.

The competition heated up in the Final Four. Alabama’s Numeracy Act — a comprehensive set of reforms that provide elementary math tutors, set up a process for vetting and approving evidence based, educator-reviewed math curriculum, and transform teacher training and preparation — challenged the statewide use of Zearn in Nebraska, Louisiana, Colorado and Ohio. Zearn proved its worth throughout the bumpy road of pandemic-era schooling, when multiple states provided free, universal access to its digital learning platform to supplement instruction and enable kids to access evidence-based instruction both in school and remotely.

Despite impressive evidence that shows gains on state math assessments for students who use Zearn consistently, the multi-faceted approach of Alabama’s Numeracy Act, and its standing as a nationwide exemplar of proactive math legislation, fueled its advance to the finals. 

Introducing the March Mathness Tournament

The second matchup of the Final Four saw Kentucky’s Math Achievement Fund go toe-to-toe with a novel automatic enrollment policy out of North Carolina and Texas. Kentucky’s Fund is one of the longest-standing initiatives in the competition, dating from 2005. It provides grants to schools and districts for math coaches, high-quality materials and extra professional development. With nearly 20 years of outcomes data, the fund has strong evidence of having moved the needle for Kentucky students in grades K-3. 

Meanwhile, North Carolina and Texas have been garnering nationwide attention for new statewide policies meant to increase enrollment in advanced math courses. Students who score at the highest levels on the state math test are automatically enrolled in advanced classes for their next school year, turning on its head the long-held practice of having them opt in. Now, high-achievers must opt out, a move many advocates describe as game-changing.

Begun in Dallas Independent School District before being taken statewide in Texas , the policy saw a doubling in the percentage of students of color enrolled in advanced math. In North Carolina , the new process has resulted in a steadily increasing number of high-achieving students enrolling in advanced courses — and sticking with them — as they work toward additional college and career opportunities. While Kentucky’s Math Achievement has been moving the needle for two decades, automatic enrollment policies are making a big wave — enough to cinch the W in this round.

As for the championship match, the battle for the March Math ness title could not have been fiercer.

The judges fought passionately to decide between the heavyweight Alabama Numeracy Act and the newcomer automatic enrollment policies in Texas and North Carolina.

Pickford was a stalwart defender of Alabama, applauding the Numeracy Act as a national standout for state leadership in promoting instruction rooted in evidence-based curriculum and wraparound supports for students, families and teachers. “Any state effort to advance learning should be rooted in access to and use of materials that are aligned to a state’s academic standards, have been endorsed by educators and empower teachers to reach all students. As leaders consider the March Math ness practices for their states or districts, I urge them to place evidence-based instruction and educator and family engagement at the center.”

Chu and Aldeman, while agreeing with Pickford about the merits of Alabama’s legislation, underscored the ripple effects of a move like Texas and North Carolina’s new process. “Automatic enrollment policies in advanced math courses represent a sea change in the way we think about math opportunities for students. After decades of requiring students to opt themselves into higher-level courses, widespread adoption of this kind of policy would represent a raising of expectations for students, rather than treating advanced math as a ‘nice-to-have’ for only some kids,” the pair said.

Ultimately, the judges decided, the relative simplicity of automatic enrollment — and the ease with which other states could adopt this for their K-12 systems — catapulted Texas and North Carolina to a winning slam-dunk.

Though automatic enrollment ultimately took home the championship, the full March Math ness bracket showcased a wealth of strategies that states and districts are employing to advance math education. From digital platforms and summer learning to professional development and comprehensive legislative reforms, the variety of initiatives reflects a nationwide commitment to improving math outcomes for all students.

The success of the March Math ness tournament lies not just in crowning a champion, but in highlighting the innovative and varied efforts underway to tackle the challenges in math education in the United States. 

Looking ahead, the Collaborative for Student Success will continue to shine a light on the most promising efforts to advance math learning, and will urge states and districts to learn from the past four years of academic recovery as they weather challenges posed by the expiration of federal relief dollars, record chronic absenteeism and the continuously changing needs of students and families. 

We hope you enjoyed March Math ness — but the math fun doesn’t end there. Stay connected with our math efforts and learn more about how you can help advance a renewed focus on math education on our EduProgress platform. We’ll see you next year for the Big (Math) Dance!  

Game-Changing Automatic Enrollment Policies Win Our March Math-ness Bracket

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NCAA Tournament 2024: Printable March Madness bracket, predictions, picks, scores for Final Four

March madness is almost over but you can keep track of the the action by printing out your ncaa tournament bracket.

Monday night brings us a must-see showdown for the national title as No. 1 overall seed UConn will take on No. 1 seed Purdue in a battle of teams that dominated college basketball all season long. The NCAA Tournament produced plenty of upsets and unexpected outcomes, but even March Madness couldn't interfere with the inevitable showdown between the Huskies and the Boilermakers. 

The game will put the 7-foot-2 Donovan Clingan of UConn against 7-4 Zach Edey of Purdue in a battle of towering stars. Edey is the two-time Naismith Award winner, but Clingan has been playing some of the best basketball of his career over the past month. UConn has a deeper supporting cast, but the Boilermakers surround Edey with a ton of shooters and are a team on a mission after last year's first-round loss to a No. 16 seed. 

UConn received a favorable draw in last year's national title game, facing No. 5 seed San Diego State and winning 76-59. It likely won't be so easy this time as the Huskies seek to become the sport's repeat champion since Florida in 2006 and 2007. But they have won 11 straight NCAA Tournament games by double-digits and can finish off one of the all-time great runs in the sport with one more big victory.

Do you want to print out a bracket? Do you want to print out five brackets? Do you want to print out 50 brackets? That's what this page is for and why you're here. Bookmark this puppy. We'll keep it updated, but just know you can always come right back here to print out a bracket to fill in for the 2024 Big Dance. 

You never know when you'll need another one. 

The only thing more important than saving this page is making sure you're stocked up on ink cartridges and toner. Don't slack! Get it taken care of and sit back and enjoy the best four-day run on the sports calendar.  

CBS Sports has a variety of methods in which you can view the bracket on the device of your choice.

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Click here to enlarge and print the blank 2024 NCAA Tournament bracket.

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Who will win every college basketball game, and which favorites should be on upset alert? Visit SportsLine now to get picks and predictions for every college basketball game , all from a model that simulates every game 10,000 times.

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  22. Game-Changing Automatic Enrollment Policies Win Our March Math-ness Bracket

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