Answer
$3(4x-3)(4x-1)$
Work Step by Step
We factor out $(4x - 3)$ and distribute, combine like terms, and simplify as follows:
\begin{align*}
(4x - 3)^2 &+ x \cdot 2(4x - 3)\cdot 4\\
&=(4x - 3)[4x-3+8x)]\\
&=(4x-3)(12x-3)\\
&=3(4x-3)(4x-1).
\end{align*}