# How do you multiply (z+8)^2?

Mar 9, 2017

${z}^{2} + 16 z + 64$

#### Explanation:

Each term in the second bracket must be multiplied by each term in the first bracket.

Since ${\left(z + 8\right)}^{2} = \left(z + 8\right) \left(z + 8\right)$

$\Rightarrow \left(\textcolor{red}{z + 8}\right) \left(z + 8\right)$

$= \textcolor{red}{z} \left(z + 8\right) \textcolor{red}{+ 8} \left(z + 8\right)$

distribute the brackets.

$= {z}^{2} + 8 z + 8 z + 64$

collect like terms.

$= {z}^{2} + 16 z + 64$