# How do you factor 10x^2y - 15xy^2 + 20xy?

$10 {x}^{2} y - 15 x {y}^{2} + 20 x y = 5 x y \left(2 x - 3 y + 4\right)$
Note that all of the terms are divisible by $5 x y$, so we find:
$10 {x}^{2} y - 15 x {y}^{2} + 20 x y = 5 x y \left(2 x - 3 y + 4\right)$