Question #43ea2

1 Answer
Feb 11, 2017

(4n-3)(4n+3)

Explanation:

This is a difference of squares. The identity states that:

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

We can rewrite the original expression as so:

16n^2 - 9 = 4^2n^2 - 3^2 = (4n)^2 - 3^2

Then, use the identity to factor:

(4n)^2 - 3^2 = (4n-3)(4n+3)