# How do you factor by grouping x^3 - 2xy + 2x^2 - xy?

Jun 4, 2018

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

#### Explanation:

${x}^{3} - 2 x y + 2 {x}^{2} - x y$

${x}^{3} - x y + 2 {x}^{2} - 2 x y$

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

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