# How do you simplify 4x ^ { 2} + 17x - 4- x ^ { 2} + x + 12?

Mar 9, 2017

$3 {x}^{2} + 18 x + 8$

#### Explanation:

Identify the like terms and regroup the expression.

$\textcolor{red}{4 {x}^{2}} \textcolor{b l u e}{+ 17 x} - 4 \textcolor{red}{- {x}^{2}} \textcolor{b l u e}{+ x} + 12$

$= \textcolor{red}{4 {x}^{2} - {x}^{2}} \textcolor{b l u e}{+ 17 x + x} - 4 + 12$

Add the like terms, keeping the variables the same.

$= \textcolor{red}{3 {x}^{2}} \textcolor{b l u e}{+ 18 x} + 8$