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

Jan 15, 2017

#### Answer:

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

#### Explanation:

Note that the square means the base multiplied by itself..

${7}^{2} = 7 \times 7 = 49$

${x}^{2} = x \times x$

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

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

$\left(\textcolor{b l u e}{x} \textcolor{red}{+ 3}\right) \left(x + 3\right)$

$= \textcolor{b l u e}{x} \left(x + 3\right) \textcolor{red}{+ 3} \left(x + 3\right)$

$= \textcolor{b l u e}{{x}^{2} + 3 x} \textcolor{red}{+ 3 x + 9} \text{ } \leftarrow$ there are 4 terms

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

DO not make the mistake of just squaring each to the terms.

${\left(x + 3\right)}^{2} \ne {x}^{2} + 9$