Question

Show work! factor this equation!
36x^2-49y^2

Answer 1

This expressions is in the form \[a^{2} - b^{2}\]

Whenever you have such a situation, you can work it out to (a+b)(a-b)

In your case, a^2 is 36x^2 and if you look carefully, that is actually (6x)^2
Similarly, b^2 for you is 49y^2 and that is actually (7y)^2

So your answer will be (6x+7y)(6x-7y)

Answer 2

Difference of two squares- (6x-7y)(6x+7y)