# How do you factor 2(5x+1)^2 - 18?

Jun 29, 2016

First factor out the greatest common factor.

#### Explanation:

$= 2 \left({\left(5 x + 1\right)}^{2} - 9\right)$

Now you have a difference of squares: ${a}^{2} - {b}^{2} = \left(a + b\right) \left(a - b\right)$

$= 2 \left(5 x + 1 + 3\right) \left(5 x + 1 - 3\right)$

$= 2 \left(5 x + 4\right) \left(5 x - 2\right)$

Hopefully this helps!