# How do you find the product of (9x + 6) (4x + 3) ?

Jan 16, 2017

See entire process described below:

#### Explanation:

To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

$\left(\textcolor{red}{9 x} + \textcolor{red}{6}\right) \left(\textcolor{b l u e}{4 x} + \textcolor{b l u e}{3}\right)$ becomes:

$\left(\textcolor{red}{9 x} \times \textcolor{b l u e}{4 x}\right) + \left(\textcolor{red}{9 x} \times \textcolor{b l u e}{3}\right) + \left(\textcolor{red}{6} \times \textcolor{b l u e}{4 x}\right) + \left(\textcolor{red}{6} \times \textcolor{b l u e}{3}\right)$

$36 {x}^{2} + 27 x + 24 x + 18$

We can now combine like terms:

$36 {x}^{2} + \left(27 + 24\right) x + 18$

$36 {x}^{2} + 51 x + 18$