Question

Which polynomial is a difference of two squares?

answers:
x2 − 16
x2 + 16
x2 − 8
x2 + 8

Answer 1

ANSWER


`{x}^(2) - 16`

EXPLANATION

Difference of two squares refers to two square numbers (terms) that are subtracting.

Thus, difference of two squares is of the form;


`{a}^(2) - {b}^(2)`

Among the given options, the only expression we can rewrite as difference of two squares is


`{x}^(2) - 16 = {x}^(2) - {4}^(2)`

The first choice is correct.

Answer 2

x2 − 16 is the difference of two squares

Explanation:

x2 − 16 is the difference of two squares, given that 16 can be represented as a square in the form 4^2.

Then, x2 − 16 = x2 − 4^2.