Answer
$(3x-4)\left( 9x-34 \right)$
Work Step by Step
Factoring the $GCF=
(3x-4)
,$ the given expression, $
(3x-4)^2+(x-5)(2)(3x-4)(3)
,$ is equivalent to
\begin{array}{l}\require{cancel}
(3x-4)\left( \dfrac{(3x-4)^2}{(3x-4)}+\dfrac{(x-5)(2)(3x-4)(3)}{(3x-4)} \right)
\\\\=
(3x-4)\left( 3x-4+(x-5)(2)(3) \right)
\\\\=
(3x-4)\left( 3x-4+6x-30 \right)
\\\\=
(3x-4)\left( 9x-34 \right)
.\end{array}
