Answer
$(2x-13)(x-2)$.
Work Step by Step
The given expression is
$=2(x-3)^{2}-5(x-3)-7$
Substitute $x-3=u$.
$=2(u)^2-5u-7$
Simplify.
$=2u^2-5u-7$
Rewrite $-5u$ as $-7u+2u$.
$=2u^2-7u+2u-7$
Factor.
$=u(2u-7)+1(2u-7)$
$=(2u-7)(u+1)$.
Substitute back $u=x-3$.
$=(2(x-3)-7)((x-3)+1)$.
Simplify.
$=(2x-6-7)(x-3+1)$.
$=(2x-13)(x-2)$.
