Answer
$4x-9y$
Work Step by Step
Using $(a+b)(a-b)=a^2-b^2$ or the product of the sum and difference of like terms, the expression $
(2\sqrt{x}-3\sqrt{y})(2\sqrt{x}+3\sqrt{y})
$ simplifies to
\begin{array}{l}
(2\sqrt{x})^2-(3\sqrt{y})^2
\\=
4x-9y
.\end{array}