Question

Factor completely x2 − 49.

Answer 1

Answer:

The answer is (x + 7)(x − 7).

Step-by-step explanation:

Given the expression

$x^2-49$

we have to factorize the above expression completely.

Given expression is

$x^2-49=x^2-7^2$  →   (1)

By the identity $a^2-b^2=(a+b)(a-b)$

Put a=x and b=7, we get

$x^2-7^2=(x+7)(x-7)$

Eq (1) can be written as

$x^2-49=(x+7)(x-7)$

∴ Option 2 is correct.

Answer 2

(x + 7)(x − 7) should be your final result