Answer
$9x^2y^2-4b^2$
Work Step by Step
Using the special product of the sum and difference of like terms, $(a+b)(a-b)=a^2-b^2$, the given expression is equivalent to
\begin{align*}
&
(3xy-2b)(3xy+2b)
\\\\&
(3xy)^2-(2b)^2
\\\\&
9x^2y^2-4b^2
.\end{align*}