Answer
$2(4x + 5)^2 (5x + 1)(50x+31)$
Work Step by Step
We factor out $2(4x + 5)^2 (5x + 1)$ and distribute, combine like terms, and simplify as follows:
\begin{align*}
&3(4x + 5)^2 \cdot 4(5x + 1)^2 + (4x + 5)^3 \cdot 2(5x + 1) \cdot 5\\
&=2(4x + 5)^2 (5x + 1)[6(5x+1)+5(4x+5)]\\
&=2(4x + 5)^2 (5x + 1)[30x+6+20x+25]\\
&=2(4x + 5)^2 (5x + 1)(50x+31)
\end{align*}