Question

Factor completely 36x2 − 49.


A (3x + 7)(12x − 7) B (3x − 7)(12x + 7) C (6x − 7)(6x − 7) D (6x + 7)(6x − 7)

A B C D ?

Answer 1

The answer is D.

6x * 6x = 36x^2
6x * -7 = -42x
6x * 7 = 42x
-7 * 7 = -49

The -42x and 42x cancel each other out, resulting in 36x^2 - 49.

Answer 2

Answer:

The correct option is D.

Step-by-step explanation:

The given expression is

$36x^2-49$

It can be written as

$(6x)^2-(7)^2$

Using the formula

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

$(6x)^2-(7)^2=(6x+7)(6x-7)$

Therefore the complete factor form of given expression is (6x+7)(6x-7). The correct option is D.