## College Algebra (11th Edition)

$16a^2-24ab+9b^2$
$\bf{\text{Solution Outline:}}$ 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}