# How do you simplify (x + 2)(x + 3)?

Oct 8, 2015

Use the distributive property to get
$\textcolor{w h i t e}{\text{XXX}} {x}^{2} + 5 x + 6$

#### Explanation:

$\left(\textcolor{red}{x} + \textcolor{b l u e}{2}\right) \left(\textcolor{g r e e n}{x + 3}\right)$

$\textcolor{w h i t e}{\text{XXX}} = \textcolor{red}{x} \left(\textcolor{g r e e n}{x + 3}\right) + \textcolor{b l u e}{2} \left(\textcolor{g r e e n}{x + 3}\right)$

$\textcolor{w h i t e}{\text{XXX}} = \textcolor{red}{{x}^{2} + 3 x} + \textcolor{b l u e}{2 x + 6}$

$\textcolor{w h i t e}{\text{XXX}} = \textcolor{red}{{x}^{2}} + 5 x + \textcolor{b l u e}{6}$