Answer
$(3x-2)^2$
Work Step by Step
Rewrite $-12x$ as $-6x-6x$.
$9x^2-12x+4=9x^2-6x-6x+4$
Group the first two terms together and group the last two terms together.
$=(9x^2-6x)+(-6x+4)$
Factor out the GCF in each group.
$=3x(3x-2)-2(3x-2)$
Factor out $(3x-2)$.
$=(3x-2)(3x-2)$
$=(3x-2)^2$
Hence, the completely factored form of the given expression is $(3x-2)^2$.
