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.

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

Step-by-step explanation:

Square of a binomial

The square of a binomial is calculated as follows:

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

When squaring (2x-3) we get:

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