Question

Factor the following :

Answer 1

(6x + 7y)(6x - 7y)

Explanation:

36x² - 49y²

= (6x)² - (7y)²

= (6x + 7y)(6x - 7y)

In this question we used the identity-

a² - b² = (a + b)(a - b)

Answer 2

(6x - 7y)(6x + 7y)

Explanation:

36x² - 49y² ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

36x² - 49y²

= (6x)² - (7y)²

= (6x - 7y)(6x + 7y)