# How do you factor 64x^3-125?

$64 {x}^{3} - 125 = {\left(4 x\right)}^{3} - {5}^{3} = \left(4 x - 5\right) \left(16 {x}^{2} + 20 x + 25\right)$
${a}^{3} - {b}^{3} = \left(a - b\right) \left({a}^{2} + a b + {b}^{2}\right)$ where $a = 4 x$ and $b = 5$