# How do you multiply  (x - 3)^2?

Jun 22, 2016

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

#### Explanation:

Write as $\textcolor{b l u e}{\left(x - 3\right)} \textcolor{b r o w n}{\left(x - 3\right)}$

Multiply everything in the brown brackets by everything in the blue brackets.

Note that he minus sign of $\textcolor{b l u e}{- 3}$ follows the $\textcolor{b l u e}{3}$

$\textcolor{b l u e}{x \textcolor{b r o w n}{\left(x - 3\right)} \text{ } - 3 \textcolor{b r o w n}{\left(x - 3\right)}}$

${x}^{2} - 3 x \text{ } - 3 x + 9$

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