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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. Sharpen your math skills and learn step by step with our math solver. Check out more online calculators here.

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1

Solved example of Factor by difference of squares

$\sqrt{\frac{x^3-y^3}{x+y}\cdot\frac{x^2+2x\cdot y+y^2}{x^2+xy+y^2}}\frac{x^2-y^2}{4}$
2

The power of a product is equal to the product of it's factors raised to the same power

$\sqrt{\frac{x^3-y^3}{x+y}}\sqrt{\frac{x^2+2x\cdot y+y^2}{x^2+x\cdot y+y^2}}\cdot\frac{x^2-y^2}{4}$
3

The power of a quotient is equal to the quotient of the power of the numerator and denominator: $\displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}$

$\frac{\sqrt{x^3-y^3}}{\sqrt{x+y}}\cdot\frac{\sqrt{x^2+2x\cdot y+y^2}}{\sqrt{x^2+x\cdot y+y^2}}\cdot\frac{x^2-y^2}{4}$
4

Multiplying fractions

$\frac{\sqrt{x^3-y^3}\sqrt{x^2+2x\cdot y+y^2}\left(x^2-y^2\right)}{4\sqrt{x+y}\sqrt{x^2+x\cdot y+y^2}}$
5

Factor the polynomial by $-1$

$\frac{-\sqrt{x^3-y^3}\sqrt{x^2+2x\cdot y+y^2}\left(-x^2+y^2\right)}{4\sqrt{x+y}\sqrt{x^2+x\cdot y+y^2}}$
6

Apply the formula: $\frac{a\cdot b}{c\cdot f}$$=\frac{a}{c}\cdot\frac{b}{f}$, where $a=-1$, $b=\sqrt{x^3-y^3}\sqrt{x^2+2x\cdot y+y^2}\left(-x^2+y^2\right)$, $c=4$ and $f=\sqrt{x+y}\sqrt{x^2+x\cdot y+y^2}$

$-\frac{1}{4}\left(\frac{\sqrt{x^3-y^3}\sqrt{x^2+2x\cdot y+y^2}\left(-x^2+y^2\right)}{\sqrt{x+y}\sqrt{x^2+x\cdot y+y^2}}\right)$
7

Factor the polynomial by $-1$

$-\frac{1}{4}\left(\frac{-\sqrt{x^3-y^3}\sqrt{x^2+2x\cdot y+y^2}\left(-y^2+x^2\right)}{\sqrt{x+y}\sqrt{x^2+x\cdot y+y^2}}\right)$

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