# How do you multiply (x + 4)^2?

Apr 28, 2016

${x}^{2} + 8 x + 16$

#### Explanation:

Write as: $\textcolor{b r o w n}{\left(x + 4\right) \textcolor{b l u e}{\left(x + 4\right)}}$

Write as: $\textcolor{b l u e}{\textcolor{b r o w n}{x} \left(x + 4\right) \textcolor{b r o w n}{+ 4} \left(x + 4\right)}$

Consider $x \left(x + 4\right)$
Multiply everything inside the bracket be $x$
${x}^{2} + 4 x$

Consider $+ 4 \left(x + 4\right)$
Multiply everything inside the bracket by (+4)
$4 x + 16$

Putting it all together

$\left({x}^{2} + 4 x\right) + \left(4 x + 16\right)$

${x}^{2} + 4 x + 4 x + 16$

${x}^{2} + 8 x + 16$