Question

HURRY! Which products result in a difference of squares or a perfect square trinomial? Check all that apply.

A)(5x + 3)(5x – 3)
B)(7x + 4)(7x + 4)
C)(2x + 1)(x + 2)
D)(4x – 6)(x + 8)
E)(x – 9)(x – 9)
F)(–3x – 6)(–3x + 6)

Answer 1

A is a difference of squares, so is F

Answer 2

Options A and option F match with difference of squares.

Options B and option E match with perfect square trinomial.

Explanation:

Given some options we have to choose the options whose result in a difference of squares or a perfect square trinomial.

Every difference of squares can be factored as

`a^2- b^2=(a + b)(a-b)`

A perfect square trinomial is a trinomial which can be factored into a binomial multiplied to itself.

`(a+b)^2=(a+b)(a+b)=a^2+b^2+2ab`

Options A and option F match with difference of squares.

Options B and option E match with perfect square trinomial.