# How do you multiply (5x + 7)(5x + 6)?

Apr 4, 2017

$25 {x}^{2} + 65 x + 42$

#### Explanation:

Use the FOIL technique (first, outside, inside, last)

So by that idea, you would just multiply these pairs:

$5 x \cdot 5 x = 25 {x}^{2}$
$5 x \cdot 6 = 30 x$
$7 \cdot 5 x = 35 x$
$7 \cdot 6 = 42$

Collect like terms and the answer will be:

= $25 {x}^{2} + 65 x + 42$