# How do you factor u^3 - 125v^3?

${u}^{3} - {\left(5 v\right)}^{3} = \left(u - 5 v\right) \left({u}^{2} + 5 u v + 25 {v}^{2}\right)$
Use the difference of two cubes formula. That is, $\left({x}^{3} - {y}^{3}\right) = \left(x - y\right) \left({x}^{2} + x y + {y}^{2}\right)$. So first write out the problem as a difference of two cubes then apply the formula.