# How do you find the product of (6x + 5)(x + 8) ?

May 20, 2017

See a solution process below:

#### Explanation:

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

$\left(\textcolor{red}{6 x} + \textcolor{red}{5}\right) \left(\textcolor{b l u e}{x} + \textcolor{b l u e}{8}\right)$ becomes:

$\left(\textcolor{red}{6 x} \times \textcolor{b l u e}{x}\right) + \left(\textcolor{red}{6 x} \times \textcolor{b l u e}{8}\right) + \left(\textcolor{red}{5} \times \textcolor{b l u e}{x}\right) + \left(\textcolor{red}{5} \times \textcolor{b l u e}{8}\right)$

$6 {x}^{2} + 48 x + 5 x + 40$

We can now combine like terms:

$6 {x}^{2} + \left(48 + 5\right) x + 40$

$6 {x}^{2} + 53 x + 40$