Factor completely 25x² - 36.
(25x - 6)(x + 6), (25x + 6)(x - 6), (5x + 6)(5x - 6), (5x - 6)(5x - 6)

Solution:

We will use the algebraic identity a² - b² = (a + b)(a - b)

The equation 25x² - 36 can be written as (5x)² - (6)²

Using the algebraic identity, we factor the polynomial as

a² - b² = (a + b)(a - b) where 5x is a and 6 is b.

(5x)² - (6)² = (5x + 6)(5x - 6)

Factor completely 25x² - 36.

Summary:

The factors of 25x² - 36 are (5x + 6)(5x - 6).