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

Hello,

Answer D
16x²y²-24xyz+9z² a perfect square trinomial which
le square of the difference of 3z from 4xy.

Answer 2

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

Explanation:

`(4xy - 3z)^2`

Given expression has exponent 2, so we multiply it twice

`(4xy - 3z)(4xy-3z)`

Apply FOIL method to multiply the parenthesis

multiply 4xy inside the second parenthesis

and multiply -3z inside the second parenthesis

`4xy(4xy-3z)=16x^2y^2-12xyz`

`-3z(4xy-3z)=-12xyz+9z^2`

`16x^2y^2-12xyz-12xyz+9z^2`

Combine like terms

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