# How do you factor completely 40xy^2 − 36x^2y?

May 13, 2016

$40 x {y}^{2} - 36 {x}^{2} y = 4 x y \left(10 y - 9 x\right)$
Note that both of the terms are divisible by $4$, $x$ and $y$, so therefore by $4 x y$.
$40 x {y}^{2} - 36 {x}^{2} y = 4 x y \left(10 y - 9 x\right)$