Answer
$4p^{2}+28p+49$
Work Step by Step
From Page 302, we know that the square of a binomial sum $x+y$ is given by the following equation:
$(x+y)^{2}=x^{2}+2xy+y^{2}$
Therefore, $(2p+7)^{2}=(2p)^{2}+2(2p)(7)+7^{2}=2^{2}p^{2}+28p+49=4p^{2}+28p+49$.