# How do you factor 4g^2 + 12gh + 5g + 15h?

Jan 10, 2016

$\left(4 g + 5\right) \left(g + 3 h\right)$

#### Explanation:

Factor from each group of $2$.

$\left(4 {g}^{2} + 12 g h\right) + \left(5 g + 15 h\right)$

$4 g \left(g + 3 h\right) + 5 \left(g + 3 h\right)$

Factor out a $\left(g + 3 h\right)$.

$\left(4 g + 5\right) \left(g + 3 h\right)$