# How do you find the product of (7x + 4) (9x + 8)?

Apr 7, 2018

$63 {x}^{2} + 92 x + 32$

#### Explanation:

Multiply each number in the first set of parentheses by each number in the second set of parentheses, add the products together

$\left(7 x + 4\right) \left(9 x + 8\right)$

$7 x \cdot 9 x + 7 x \cdot 8 + 4 \cdot 9 x + 4 \cdot 8$

$63 {x}^{2} + 56 x + 36 x + 32 \rightarrow$ Combine like terms

$63 {x}^{2} + 92 x + 32$

Apr 7, 2018

$63 {x}^{2} + 92 x + 32$
$9 x \left(7 x + 4\right) + 8 \left(7 x + 4\right)$
$63 {x}^{2} + 36 x + 56 x + 32$
$= 63 {x}^{2} + 92 x + 32$