How do you factor 3u^2 (u+6) -5 (u+6)?

Aug 22, 2017

$\left(u + 6\right) \left(3 {u}^{2} - 5\right)$

Explanation:

The first thing I did is simply it.

$3 {u}^{2} \left(u + 6\right) - 5 \left(u + 6\right) \text{ }$(use the distributive property)

$\left(3 {u}^{2}\right) \left(u\right) + \left(3 {u}^{2}\right) \left(6\right) + \left(- 5\right) \left(u\right) + \left(- 5\right) \left(6\right)$

$3 {u}^{3} + 18 {u}^{2} - 5 u - 30$

Factorize

$\left(u + 6\right) \left(3 {u}^{2} - 5\right)$