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Difference of cubes Calculator

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1

Solved example of difference of cubes

$factor\left(x^3-y^3\right)$
2

Factor the difference of cubes: $a^3-b^3 = (a-b)(a^2+ab+b^2)$

$\left(x-\sqrt[3]{y^3}\right)\left(x^2+x\sqrt[3]{y^3}+\sqrt[3]{\left(y^3\right)^{2}}\right)$
3

Cancel exponents $3$ and $0.3333$

$\left(x-y\right)\left(x^2+x\sqrt[3]{y^3}+\sqrt[3]{\left(y^3\right)^{2}}\right)$
4

Applying the power of a power property

$\left(x-y\right)\left(x^2+xy+\sqrt[3]{\left(y^3\right)^{2}}\right)$
5

Applying the power of a power property

$\left(x-y\right)\left(x^2+xy+y^{2}\right)$

Answer

$\left(x-y\right)\left(x^2+xy+y^{2}\right)$

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