Answer
$2(2x+9)(2x-9)$
Work Step by Step
Factoring the $GCF=
2
$, the given expression, $
8x^2-162
,$ is equivalent to
\begin{array}{l}
2(4x^2-81)
\end{array}
Using $x^2-y^2=(x+y)(x-y)$ or the factoring of the difference of 2 squares, then the factored form of the expression, $
2(4x^2-81)
,$ is
\begin{array}{l}
2(2x+9)(2x-9)
\end{array}