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# Factor by Difference of Squares Calculator

## Get detailed solutions to your math problems with our Factor by Difference of Squares step-by-step calculator. Practice your math skills and learn step by step with our math solver. Check out all of our online calculators here.

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###  Difficult Problems

1

Here, we show you a step-by-step solved example of factor by difference of squares. This solution was automatically generated by our smart calculator:

$factor\left(x^2-36\right)$
2

Simplify $\sqrt{x^2}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $2$ and $n$ equals $\frac{1}{2}$

$\left(x+\sqrt{36}\right)\left(\sqrt{x^2}-\sqrt{36}\right)$
3

Calculate the power $\sqrt{36}$

$\left(x+6\right)\left(\sqrt{x^2}-\sqrt{36}\right)$
4

Simplify $\sqrt{x^2}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $2$ and $n$ equals $\frac{1}{2}$

$\left(x+6\right)\left(x-\sqrt{36}\right)$
5

Calculate the power $\sqrt{36}$

$\left(x+6\right)\left(x- 6\right)$
6

Multiply $-1$ times $6$

$\left(x+6\right)\left(x-6\right)$

##  Final answer to the problem

$\left(x+6\right)\left(x-6\right)$

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