# How do you expand and simplify (3x+4)(2x-2)?

Jan 7, 2017

You cross multiply the terms within parenthesis and the group and combine like terms to simplify. See full process in the Explanation

#### Explanation:

First we cross multiply each term in the parenthesis on the left by each term in parenthesis on the left:

$\left(\textcolor{red}{3 x} + \textcolor{red}{4}\right) \left(\textcolor{b l u e}{2 x} - \textcolor{b l u e}{2}\right)$

$\left(\textcolor{red}{3 x} \times \textcolor{b l u e}{2 x}\right) - \left(\textcolor{red}{3 x} \times \textcolor{b l u e}{2}\right) + \left(\textcolor{red}{4} \times \textcolor{b l u e}{2 x}\right) - \left(\textcolor{red}{4} \times \textcolor{b l u e}{2}\right)$

$6 {x}^{2} - 6 x + 8 x - 8$

We can now combine like terms to complete the simplification:

$6 {x}^{2} + \left(- 6 + 8\right) x - 8$

$6 {x}^{2} + 2 x - 8$