# How do you simplify (-x^2 + 3x) - (5x + 2x^2)?

Jun 5, 2015

$\left(- {x}^{2} + 3 x\right) - \left(5 x + 2 {x}^{2}\right)$

$= - {x}^{2} + 3 x - 5 x - 2 {x}^{2}$

$= \left(- {x}^{2} - 2 {x}^{2}\right) + \left(3 x - 5 x\right)$

$= \left(- 1 - 2\right) {x}^{2} + \left(3 - 5\right) x$

$= - 3 {x}^{2} - 2 x$

$= - \left(3 x + 2\right) x$