# How do you find the product of (5x + 2) (7x + 6) ?

May 11, 2018

$35 {x}^{2} + 44 x + 12$

#### Explanation:

$\text{each term in the second factor is multiplied by each term}$
$\text{in the first factor}$

$\Rightarrow \left(\textcolor{red}{5 x + 2}\right) \left(7 x + 6\right)$

$= \textcolor{red}{5 x} \left(7 x + 6\right) \textcolor{red}{+ 2} \left(7 x + 6\right)$

$= \left(\textcolor{red}{5 x} \times 7 x\right) + \left(\textcolor{red}{5 x} \times 6\right) + \left(\textcolor{red}{2} \times 7 x\right) + \left(\textcolor{red}{2} \times 6\right)$

$= 35 {x}^{2} \textcolor{b l u e}{+ 30 x} \textcolor{b l u e}{+ 14 x} + 12$

$= 35 {x}^{2} + 44 x + 12$