# How do you factor 5x^3+625?

Sep 3, 2016

$5 \left(x + 5\right) \left({x}^{2} - 5 x + 25\right)$

#### Explanation:

Always look for a common factor first.

$5 {x}^{3} + 625$

=$5 \left({x}^{3} + 125\right) \text{ "larr " sum of cubes}$

=$5 \left(x + 5\right) \left({x}^{2} - 5 x + 25\right)$