Answer
$(2x+1)(30x-19)$
Work Step by Step
We factor out $2x+1$ and distribute, combine like terms, and simplify as follows:
\begin{align*}
5(2x + 1)^2 &+ (5x - 6) \cdot 2(2x + 1) \cdot 2\\
&=(2x+1)[5(2x+1)+4(5x-6)]\\
&=(2x+1)[10x+5+20x-24]\\
&=(2x+1)(30x-19).
\end{align*}