Answer
$16a^2-24ab+9b^2$
Work Step by Step
$\bf{\text{Solution Outline:}}$
To simplify the given expression, $
(4a-3b)^2
,$ use the special product on squaring binomials.
$\bf{\text{Solution Details:}}$
Using the square of a binomial which is given by $(a+b)^2=a^2+2ab+b^2$ or by $(a-b)^2=a^2-2ab+b^2,$ the expression above is equivalent to
\begin{array}{l}\require{cancel}
(4a)^2-2(4a)(3b)+(3b)^2
\\\\=
16a^2-24ab+9b^2
.\end{array}
