Answer
$4(3x+2)(3x-2)$
Work Step by Step
Factoring the $GCF=
4
,$ the given $\text{
expression,
}$ $
36x^2-16
,$ is equivalent to
\begin{align*}
4(9x^2-4)
.\end{align*}
Using the factoring of the difference of $2$ squares which is given by $a^2-b^2=(a+b)(a-b),$ the $\text{
expression
}$ above is equivalent to
\begin{align*}
&
4[(3x)^2-(2)^2]
\\&=
4[(3x+2)(3x-2)]
\\&=
4(3x+2)(3x-2)
.\end{align*}
