Question

Factor completely x^2 − 36.

(x + 6)(x − 6)
(x + 6)(x + 6)
(x − 6)(x − 6)
Prime

Answer 1

(x+6)(x-6)

Explanation:

Answer 2

`(x + 6)(x - 6)`

EXPLANATION

The given expression is

`{x}^(2) - 36`

We write to obtain;

`{x}^(2) - {6}^(2)`

Recall that;

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

We apply this difference of squares formula to get;

`{x}^(2) - {6}^(2) = (x - 6)(x + 6)`

The correct choice is A