Question

Determine which polynomial is a difference of two squares.

A) x2 + 14
B) x2 − 14
C) x2 + 49
D) x2 − 49

Answer 1

In order for a polynomial to be a difference of squares, it must have the form a^2-b^2, so the answer has to be two perfect squares. Since x^2 and 49 are both perfect squares, it would have to be either C or D, and since it is the DIFFERENCE of squares, that means you are subtracting, so the answer would be D, x^2-49.

Answer 2

Option D. x² - 49

Explanation:

We have to find the polynomial which is a difference of two squares.

It means polynomials will be in the form of a² - b² where a² and b² are perfect squares.

Out of all options A, B, C, D we have two options C and D in which x² and 49 are two perfect squares but difference of two squares is only in option D.

x² - 49 = x² - 7²

Therefore option D. (x² - 49) is the answer.