Question

Which is equivalent to , and what type of special product is it?

Answer 1

Answer:

a perfect square trinomial

Step-by-step explanation:

The given expression is

$(4xy-3z)^{2}$

As you can observe this is a binomial expression under a square power. Additionally, this is a special product, which equivalent expression is a perfect square trinomial, because from this square power we get two perfect square and one linear term.

Therefore, the right answer is B.

Let's solve the expression to demonstrate what we said before

$(4xy-3z)^{2}=(4xy)^{2} -2(4xy)(3z)+(3z)^{2}=16x^{2} y^{2} -24xyz+9z^{2}$

As you can observe, the expression is equivalen to a trinomial.