Question

Your classmate was asked to square (2x-3),he answered 4x2-9.Is his anwer correct?

A.yes,because product rule is correctly applied.

B.Yes,because squaring a binomial always produces a binomial product.

C.No,because the answer must be 4x2+9.

D.No,because squaring a binomial always produces a trinomial product.​

Answer 1

Choice: D. No, because squaring a binomial always produces a trinomial product

Explanation:

Square of a binomial

The square of a binomial is calculated as follows:

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

Note that if a and b are nonzero, the square always produces a trinomial result.

When squaring (2x-3) we get:

`(2x-3)^2=(2x)^2+2(2x)(-3)+(-3)^2`

`(2x-3)^2=4x^2-12x+9`

As stated above, the result is a trinomial. Thus, the answer of your classmate is wrong because it should have produced a trinomial.

Choice: D