Factor this expression completely

36y2 - 1

To factor the expression 36y^2 - 1 completely, we can use the difference of squares formula. The difference of squares formula states that a^2 - b^2 can be factored as (a + b)(a - b).

In this case, we have 36y^2 - 1. We can rewrite this expression as (6y)^2 - 1^2.

Applying the difference of squares formula, we get:
(6y + 1)(6y - 1)

Therefore, the expression 36y^2 - 1 is factored completely as (6y + 1)(6y - 1).