Answer
$15x^2+18xy-81y^2$
Work Step by Step
Using $(a+b)(c+d)=ac+ad+bc+bd$ or the FOIL Method, then,
\begin{array}{l}
(5x-9y)(3x+9y)
\\=
15x^2+45xy-27xy-81y^2
\\=
15x^2+18xy-81y^2
.\end{array}
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