# How do you factor 2x^2y-4xy-30y?

May 12, 2015

Factor $2 {x}^{2} y - 4 x y - 30 y$ .
Factor out the $2 y$.
$2 y \left({x}^{2} - 2 x - 15\right)$
Find 2 factors of -15 that, when added = -2 (3 and -5)
$2 y \left(x + 3\right) \left(x - 5\right)$

#### Explanation:

Factor $2 {x}^{2} - 4 x y - 30 y$ .

Factor out the $2$.

$2 \left({x}^{2} - 2 x y - 15 y\right)$