# How do you factor 2a^3-128?

$\left(a - 4\right) \left({a}^{2} + 4 a + 16\right)$
${a}^{3} - {b}^{3} = \left(a - b\right) \left({a}^{2} + a b + {b}^{2}\right)$
$y = 2 \left({a}^{3} - 64\right) = 2 \left({a}^{3} - {4}^{3}\right) = 2 \left(a - 4\right) \left({a}^{2} + 4 a + 16\right)$