Solved example of difference of cubes
Factor the difference of cubes: $a^3-b^3 = (a-b)(a^2+ab+b^2)$
Multiply $-1$ times $-1$
Multiply $-1$ times $-1$
Multiply $-1$ times $-1$
Divide $1$ by $3$
Divide $1$ by $3$
Divide $2$ by $3$
Simplify $\sqrt[3]{y^3}$ 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 $\frac{1}{3}$
Multiply $3$ times $\frac{1}{3}$
Multiply $3$ times $\frac{1}{3}$
Simplify $\sqrt[3]{y^3}$ 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 $\frac{1}{3}$
Multiply $3$ times $\frac{1}{3}$
Simplify $\sqrt[3]{y^3}$ 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 $\frac{1}{3}$
Multiply $3$ times $\frac{1}{3}$
Multiply $3$ times $\frac{1}{3}$
Simplify $\sqrt[3]{y^3}$ 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 $\frac{1}{3}$
Multiply $3$ times $\frac{1}{3}$
Simplify $\sqrt[3]{y^3}$ 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 $\frac{1}{3}$
Multiply $3$ times $\frac{1}{3}$
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 $\frac{2}{3}$
Multiply $3$ times $\frac{2}{3}$
Multiply $3$ times $\frac{2}{3}$
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