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

It is

${x}^{3} \left(2 x - y\right) + x y {\left(2 x - y\right)}^{2}$=
$x \left(2 x - y\right) \cdot \left({x}^{2} + y \left(2 x - y\right)\right)$=
$x \left(2 y - x\right) \left({x}^{2} + 2 x y - {y}^{2}\right)$