# How do you multiply (3x + 4)^2?

Aug 23, 2015

=color(blue)(9x^2+24x+16

#### Explanation:

${\left(3 x + 4\right)}^{2} = \textcolor{b l u e}{\left(3 x + 4\right)} \cdot \left(3 x + 4\right)$

$= \textcolor{b l u e}{\left(3 x\right)} \cdot \left(3 x + 4\right) + \textcolor{b l u e}{\left(4\right)} \left(3 x + 4\right)$
$= 9 {x}^{2} + 12 x + 12 x + 16$
=color(blue)(9x^2+24x+16

Note:
The property:color(blue)((a+b)^2=a^2+2ab+b^2 can be applied to the same expression