# How do you factor 8xy - 10y + 36x - 45?

May 12, 2016

$\left(2 y + 9\right) \left(4 x - 5\right)$

#### Explanation:

Factor by grouping:

$8 x y - 10 y + 36 x - 45$

$= \left(8 x y - 10 y\right) + \left(36 x - 45\right)$

$= 2 y \left(4 x - 5\right) + 9 \left(4 x - 5\right)$

$= \left(2 y + 9\right) \left(4 x - 5\right)$