# How do you write the product as a trinomial (x + 2)(x + 3)?

Jul 23, 2015

$\left(x + 2\right) \left(x + 3\right) = \left({x}^{2} + 5 x + 6\right)$

#### Explanation:

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

$\textcolor{w h i t e}{\text{XXXX}}$$= \textcolor{g r e e n}{x \left(x + 3\right)} + \textcolor{\mathmr{and} a n \ge}{2 \left(x + 3\right)}$$\textcolor{w h i t e}{\text{XXXX}}$(just changing colors here)

$\textcolor{w h i t e}{\text{XXXX}}$$= \textcolor{g r e e n}{{x}^{2} + 3 x} + \textcolor{\mathmr{and} a n \ge}{2 x + 6}$

$\textcolor{w h i t e}{\text{XXXX}}$$= {x}^{2} + 5 x + 6$