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Simplify polynomials calculator

This calculator simplifies polynomials as much as possible. Calculator works with polynomials in one or more variables. For example calculator can simplify expressions such as 2(x+1)-4(x-2)+3(3-4x) or (a+b)³-(a-b)³. The calculator shows all the steps and easy-to-understand explanations of how the problem was solved.

solution

5 a w s w s \cdot 2 (2 a w s - w s \cdot 3) = 20 a^{2} s^{3} w^{3} - 30 a s^{3} w^{3}

explanation

Tap the blue circles to see an explanation.

$5 a w s w s \cdot 2 (2 a w s - w s \cdot 3) \overset{◯}{1} 10 a s^{2} w^{2} (2 a w s - w s \cdot 3) \overset{◯}{2} 20 a^{2} s^{3} w^{3} - 30 a s^{3} w^{3}$
①	$5 a w s w s \cdot 2 = 10 a s^{1 + 1} w^{1 + 1} = 10 a s^{2} w^{2}$
②	Multiply $10 a s^{2} w^{2}$ by $(2 a s w - 3 s w)$ $10 a s^{2} w^{2} \cdot (2 a s w - 3 s w) = 20 a^{2} s^{3} w^{3} - 30 a s^{3} w^{3}$

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Simplify polynomials

Simplify any polynomial expression as much as possible.
help ↓↓ examples ↓↓

0123456789+–•/^.()abxyuvC ✖

Invalid input

Input Expression:

Examples:

(x+2)^2-2(x-1)(x+3)

(a+b)^3-(a-b)^3

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Examples

ex 1:

2(3x-2)+4(5x-1)-(3x+5)=

ex 2:

(2x+3)/4 - (2x-1)/2 =

ex 3:

(a+b)²-(a-b)² =

ex 4:

(x+y+z)³-(x+y-z)³ =

ex 5:

(a+b+c)/3 - (a-b+c)/6 - (a+b-c)/6 =

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Find more worked-out examples in our database of solved problems.

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RESOURCES

1. Step-by-step guide to simplifying polynomial expressions.

2. Polynomial expressions, equations and functions — Khan Academy.

3. Simplifying polynomials by combining like terms and by using FOIL technique.

4. Polynomial factoring calculator (shows all steps).

452 861 664 solved problems

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