# How do you factor 3x^3y^2 - 2x^2y + 5xy?

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