# How do you find the product (x+3)^2?

Mar 3, 2018

${x}^{2} + 6 x + 9$

#### Explanation:

${\left(x + 3\right)}^{2}$
$= \left(x + 3\right) \times \left(x + 3\right)$
$= \left(\textcolor{red}{x} + \textcolor{b l u e}{3}\right) \times \textcolor{\mathmr{and} a n \ge}{\left(x + 3\right)}$
$= \textcolor{red}{x} \times \textcolor{\mathmr{and} a n \ge}{\left(x + 3\right)} + \textcolor{b l u e}{3} \times \textcolor{\mathmr{and} a n \ge}{\left(x + 3\right)}$
$= {x}^{2} + 3 x + 3 x + 9$
$= {x}^{2} + 6 x + 9$

Mar 3, 2018

${x}^{2} + 6 x + 9$

#### Explanation:

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

$\left(x + 3\right) \left(x + 3\right)$

$\textcolor{w h i t e}{a a a a a a a a a a a a a}$$x + 3$
$\textcolor{w h i t e}{a a a a a a a a a a a}$$\times \underline{x + 3}$
$\textcolor{w h i t e}{a a a a a a a a a a a a a}$${x}^{2} + 3 x$
$\textcolor{w h i t e}{a a a a a a a a a a a a a a a a}$$+ 3 x + 9$
$\textcolor{w h i t e}{a a a a a a a a a a a a a}$$\overline{{x}^{2} + 6 x + 9}$

$\textcolor{w h i t e}{a a a a a a a a a a a a a}$color(green)(x^2+6x+9