Question

Which of the following is one of the special product formulas?

perfect square monomials
difference of terms
perfect square trinomials
difference of perfect squares

select all that apply

Answer 1

Perfect square trinomials and difference of two squares are just to binomials being multiplied, and they are special because there is a specific formula for them. Perfect square trinomial:(a+b)^2, a^2+2ab+b^2. Difference of squares: (a+b)(a-b), a^2-b^2

Explanation:

Answer 2

c .Perfect square trinomials

d.Difference of perfect squares

Explanation:

We have to find the special product formulas.

a.Perfect square monomials

It is of the form
`x^2`

It is not a special product formulas.

b.Difference of terms

It is of the form

`x-y`

It is not a special product formulas.

c.Perfect square trinomials

It is of the form

`(x+y)^2=x^2+y^2+2xy`

It is a special product formulas.

d.Difference of perfect squares

It is of the form

`x^2-y^2`

`(x+y)(x-y)`

Therefore, it is a special product formulas.