Question

Which is equivalent to (4xy – 3z)2, and what type of special product is it?

16x2y2 + 9z2, the difference of squares
16x2y2 + 9z2, a perfect square trinomial
16x2y2 – 24xyz + 9z2, the difference of squares
16x2y2 – 24xyz + 9z2, a perfect square trinomial

Answer 1

the last choice is right sure because this is a perfect square trinomial

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

hope this will help you

Answer 2

Option D is correct

`16x^2y^2-24xyz+9z^2`

a perfect square trinomial

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