Answer
$49x^2-81y^2$
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 given expression, $
(7x-9y)(7x+9y)
,$ is equivalent to
\begin{array}{l}\require{cancel}
(7x)^2-(9y)^2
\\\\=
49x^2-81y^2
.\end{array}