Question

I NEED IMMEDIATE HELP!!

Which will result in a perfect square trinomial?

(A) (3x-5)(3x-5)

(B) (3x-5)(5-3x)

(C) (3x-5)(3x 5)

(D) (3x-5)(-3x-5)

Answer 1

It A because the two mirror each other so you can simplify them to (3x−5)^2.

Answer 2

(A)
`(3x-5)(3x-5)`

Explanation:

Perfect-square trinomials have this form:

`a^2x^2 \± 2ab + b^2`

And can be expressed as a squared binomial:

`(ax \± b)^2`

Which is the same as:
`(ax+b)(ax+b)` or
`(ax-b)(ax-b)`

You can observe that
`(3x-5)(3x-5)` (Shown in the option A) matches with the form
`(ax-b)(ax-b)`, therefore, it will result in a perfect square trinomimal.

You can verify this by applyin Distributive property. Then:

`(3x-5)(3x-5)=\\=3^2x^2+(3x)(-5)+(3x)(-5)+5^2\\=9x^2-15x-15x+25\\=9x^2-30x+25`

The result is a perfect square trinomial.