Answer
$(3x-4)^2$
Work Step by Step
Rewrite $-24x$ as $-12x-12x$.
$9x^2-24x+16=9x^2-12x-12x+16$
Group the first two terms together and group the last two terms together to obtain:
$=(9x^2-12x)+(-12x+16)$
Factor out the GCF in each group.
$=3x(3x-4)-4(3x-4)$
Factor out $(3x-4)$.
$=(3x-4)(3x-4)$
$=(3x-4)^2$
Hence, the completely factored form of the given expression is $(3x-4)^2$.
