Answer
$9d^{2}$+60d+100
Work Step by Step
In order to simplify the product $(3d+10)^{2}$ we must apply the rule that states that $(a+b)^{2}$=$a^{2}$+2ab+$b^{2}$, and we'll set a=3d and b=10. Therefore,
$(3d+10)^{2}$=$(3d)^{2}$+2(3d)(10)+$10^{2}$
=$9d^{2}$+60d+100