Answer
c., $x^{2}+14x+49$
Work Step by Step
$(x+7)^{2}$
As shown on page 285, the square of a binomial is given by the following formula:
$(a+b)^{2}=a^{2}+2ab+b^{2}$
In this case, $a=x$ and $b=7$.
$(x+7)^{2}=x^{2}+2(x)(7)+7^{2}=x^{2}+14x+49$