# How do you simplify 5x - (3x^2 + 9x)?

Feb 13, 2016

$5 x - \left(3 {x}^{2} + 9 x\right)$ can be simplified to $- 4 x - 3 {x}^{2}$ or $- 3 {x}^{2} - 4 x$.

#### Explanation:

The first step to simplify this equation is to distribute the negative across the parentheses like so:

$5 x - \left(3 {x}^{2} + 9 x\right)$
$5 x - 3 {x}^{2} - 9 x$

Rearrange the expression so the like terms (same exponent) are next to each other and simplify by adding or subtracting like terms.

$5 x - 9 x - 3 {x}^{2}$
$- 4 x - 3 {x}^{2}$

Because polynomial expressions usually have the variable with the highest exponent first, rearrange it.

$- 3 {x}^{2} - 4 x$