Question

Which is equivalent to (4 x y minus 3 z) squared, and what type of special product is it?

16 x squared y squared + 9 z squared, the difference of squares
16 x squared y squared + 9 z squared, a perfect square trinomial
16 x squared y squared minus 24 x y z + 9 z squared, the difference of squares
16 x squared y squared minus 24 x y z + 9 z squared, a perfect square trinomial

Answer 1

(4xy − 3z)^2 = 16x^2y^2 − 24xyz + 9z^2, and it is a perfect square trinomial (the square of the binomial 4xy − 3z).