Answer
$2(3t+2s)(3t-2s)$
Work Step by Step
Factoring the $GCF=
2
$, the given expression, $
18t^2-8s^2
,$ is equivalent to
\begin{array}{l}
2(9t^2-4s^2)
.\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(9t^2-4s^2)
,$ is
\begin{array}{l}
2(3t+2s)(3t-2s)
.\end{array}