Question

Simplify the expression by combining like terms.

$14x^2-9x+11-8x^2+8x-6$

Short answer

The simplified expression is$6x^2-x+5$.

Step-by-step solution

Step 1.Given information

The expression is$14x^2-9x+11-8x^2+8x-6$

Step 2.Simplify the expression

$$\begin{gathered} 14x^2-9x+11-8x^2+8x-6=\left(14x^2-8x^2\right)+\left(-9x+8x\right)+\left(-6+11\right)\text{Groupingliketerms} \\ =\left(6x^2\right)+\left(-x\right)+\left(5\right)\text{addliketerms} \\ =6x^2-x+5 \end{gathered}$$

Hence, the simplified expression is

$6x^2-x+5.$