# How do you multiply (x - 6)(x + 2)?

Mar 6, 2018

${x}^{2} - 4 x - 12$

#### Explanation:

Start of by expanding the brackets then simplify

${x}^{2} + 2 x - 6 x - 12$

${x}^{2} - 4 x - 12$

Mar 6, 2018

${x}^{2} - 4 x - 12$

#### Explanation:

Given: $\textcolor{b l u e}{\left(x - 6\right)} \textcolor{g r e e n}{\left(x + 2\right)}$

Multiply everything in the right hand brackets by everything in the left one.

$\textcolor{g r e e n}{\textcolor{b l u e}{x} \left(x + 2\right) \textcolor{w h i t e}{\text{ddd}} \textcolor{b l u e}{- 6} \left(x + 2\right)} \leftarrow$ Notice the minus follows the 6

$\textcolor{g r e e n}{{x}^{2} \textcolor{w h i t e}{\text{.d")ubrace(+2xcolor(white)("ddd}} - 6 x} - 12$

$\textcolor{g r e e n}{{x}^{2} \textcolor{w h i t e}{\text{dddd")-4xcolor(white)("ddd.}} - 12}$