Difference of Cubes Calculator

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 Example

 Solved Problems

 Difficult Problems

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

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

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

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

Simplify $\sqrt[3]{\left(y^3\right)^{2}}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $3$ and $n$ equals $\frac{2}{3}$

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

Multiply the fraction and term in $3\cdot \left(\frac{2}{3}\right)$

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

Multiply $3$ times $2$

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

Divide $6$ by $3$

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

 Final answer to the exercise