Answer
$q^{2}$-30q+225
Work Step by Step
In order to simplify $(q-15)^{2}$ we must apply the rule that states that
$(a+b)^{2}$=$a^{2}$-2ab+$b^{2}$, and we'll set a=q and b=15. Therefore,
$(q-15)^{2}$=$q^{2}$-2(q)(15)+$15^{2}$
=$q^{2}$-30q+225