Answer
Correct factorization
Work Step by Step
We graph the polynomial functions:
$$\begin{align*}
p_1(x)&=(2x+3)^2-9\\
p_2(x)&=4x(x+3).
\end{align*}$$
Because the two graphs coincide, this means that the polynomial $p(x)=(2x+3)^2-9$ was factored correctly.