Question

Factor the expression. 36x^2−49

Answer 1

Answer:

$(6x+7)(6x-7)$

Explanation:

Given the below expression;

$36x^2-49^{}$

Since both terms are perfect squares, we can rewrite the above expression as;

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

We can now apply the below difference of squares formula;

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

If we compare the above formula with our expression, we can see that a = 6x and b = 7.

Let's go ahead and substitute;

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