Factor completely 16x² - 25.
(4x - 5)(4x - 5), (4x + 5)(4x - 5), (16x + 5)(x - 5), (16x - 5)(x + 5)

Solution:

To factorise completely, we will use the algebraic identity a² - b²

The equation 16x² - 25 can be written as (4x)² - (5)².

Using the algebraic identity, we factor the polynomial as

a² - b² = (a + b)(a - b) where a = 4x and b = 5

(4x)² - (5)² = (4x + 5)(4x - 5)

Factor completely 16x² - 25.

Summary:

The factors of 16x² - 25 are (4x + 5)(4x - 5) using the algebraic identity a² - b² = (a + b)(a - b)