# How do you find the product of (c+6)^2?

Sep 1, 2017

See a solution process below:

#### Explanation:

We can use this rule for quadratics to find the product of the term in the problem:

${\left(\textcolor{red}{x} + \textcolor{b l u e}{y}\right)}^{2} = {\textcolor{red}{x}}^{2} + 2 \textcolor{red}{x} \textcolor{b l u e}{y} + {\textcolor{b l u e}{y}}^{2}$

Substituting $c$ for $\textcolor{red}{x}$ and $6$ for $\textcolor{b l u e}{y}$ gives:

${\left(\textcolor{red}{c} + \textcolor{b l u e}{6}\right)}^{2} \implies {\textcolor{red}{c}}^{2} + \left(2 \cdot \textcolor{red}{c} \cdot \textcolor{b l u e}{6}\right) + {\textcolor{b l u e}{6}}^{2} \implies {c}^{2} + 12 c + 36$