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

Mar 20, 2018

You can see that there is an $x + y$ factor that we can remove.

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

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

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

$\left(x + y\right) \left(2 x \left(x - y\right) + y \left(x - y\right)\right)$

$\left(x + y\right) \left(2 x + y\right) \left(x - y\right)$

Hopefully this helps!