# How do you factor x^3+8x^2+15x?

Given, ${x}^{3} + 8 {x}^{2} + 15 x$
$\Rightarrow x \left({x}^{2} + 8 x + 15\right)$
$\Rightarrow x \left({x}^{2} + 3 x + 5 x + 15\right)$
$\Rightarrow x \left[x \left(x + 3\right) + 5 \left(x + 3\right)\right]$
$\Rightarrow x \left(x + 3\right) \left(x + 5\right)$