Question

Which polynomial is a difference of two squares?

x2 − 12
x2 + 12
x2 − 36
x2 + 36

Answer 1

x² - 36 = (x - 6)·(x + 6)

Answer 2

Option C is correct

`x^2 -36` polynomial is a difference of two squares.

Explanation:

Using Formula:

For difference of square:

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

From the given options:

The polynomial
`x^2 -36` follows a difference of two squares i.e

`x^2-36 = x^2-6^2`

Apply the above formula:

`x^2-36 = (x-6)(x+6)`

Therefore,
`x^2 -36` polynomial is a difference of two squares.