# How do you factor x^3 + 216?

Using the identity ${a}^{3} + {b}^{3} = \left(a + b\right) \cdot \left({a}^{2} - a b + {b}^{2}\right)$ and the fact that
$216 = {6}^{3}$
${x}^{3} + {6}^{3} = \left(x + 6\right) \cdot \left({x}^{2} - 6 x + 36\right)$