Here, we show you a step-by-step solved example of différence de cubes. This solution was automatically generated by our smart calculator:
Apply the formula: $a^3+b$$=\left(a-\sqrt[3]{\left|b\right|}\right)\left(a^2+a\sqrt[3]{\left|b\right|}+\sqrt[3]{\left|b\right|^{2}}\right)$, where $a=x$ and $b=-y^3$
Simplify $\sqrt[3]{\left(y^3\right)^{2}}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $3$ and $n$ equals $\frac{2}{3}$
Apply the formula: $\frac{a}{b}c$$=\frac{ca}{b}$, where $a=2$, $b=3$, $c=3$, $a/b=\frac{2}{3}$ and $ca/b=3\cdot \left(\frac{2}{3}\right)$
Apply the formula: $ab$$=ab$, where $ab=3\cdot 2$, $a=3$ and $b=2$
Apply the formula: $\frac{a}{b}$$=\frac{a}{b}$, where $a=6$, $b=3$ and $a/b=\frac{6}{3}$
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