Answer:
Option D is correct
\(16x^2y^2-24xyz+9z^2\)
a perfect square trinomial
Step-by-step explanation:
Using a perfect square trinomial:
\((a-b)^2 = a^2-2ab+b^2\) ....[1]
Given the expression:
\((4xy-3z)^2\)
let a = 4xy and b = 3z
then;
Substitute in [1] we have
\((4xy-3z)^2 = (4xy)^2-2(4xy)(3z)+(3z)^2\)
Simplify:
\((4xy-3z)^2 =16x^2y^2-24xyz+9z^2\)
Therefore, the expression which is equivalent to \((4xy-3z)^2\) is \(16x^2y^2-24xyz+9z^2\) and type of special product is: perfect square trinomial
