Answer
$c^{2}$+8c++16
Work Step by Step
In order to simplify the product $(c+4)^{2}$ we must apply the rule that states that
(a+b)=$a^{2}$+2ab+$b^{2}$, and we'll set a=c and b=4. Therefore,
$(c+4)^{2}$=$c^{2}$+2(c)(4)+$4^{2}$
=$c^{2}$+8c+16