Answer
$4v^{2}$-36v+81
Work Step by Step
In order to simplify the product $(2v-9)^{2}$ we must apply the rule that states that
(a-b)=$a^{2}$-2ab+$b^{2}$, and we'll set a=2v and b=9. Therefore,
$(2v-9)^{2}$=$(2v)^{2}$-2(2v)(9)+$(9)^{2}$
=$4v^{2}$-36v+81