# How do you find the product of (6x + 9)(x + 4) ?

Sep 5, 2016

$6 {x}^{2} + 33 x + 36$

#### Explanation:

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

$\left(\textcolor{red}{6 x} \textcolor{b l u e}{+ 9}\right) \left(x + 4\right)$

=$\textcolor{red}{6 x \times x + 6 x \times 4} + \textcolor{b l u e}{9 \times x + 9 \times 4}$

=color(red)(6x^2 + 24x) + color(blue)(9x + 36

=$6 {x}^{2} + 33 x + 36$

Sep 5, 2016

$\left(6 x + 9\right) \left(x + 4\right)$
$x \left(6 x + 9\right) + 4 \left(6 x + 9\right)$
6x²+9x+24x+36
6x²+33x+36