The problem asks to factor the expression $36x^2 - 169y^2$ using the difference of two squares formula.

1. Problem Description

The problem asks to factor the expression $36x^2 - 169y^2$ using the difference of two squares formula.

2. Solution Steps

The difference of squares formula is:

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

We can rewrite $36x^2 - 169y^2$ as $(6x)^2 - (13y)^2$. Now, applying the difference of squares formula, we have:

$(6x)^2 - (13y)^2 = (6x - 13y)(6x + 13y)$

3. Final Answer

$(6x - 13y)(6x + 13y)$