## Algebra 1

$4v^{2}$-36v+81
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