Question

Question #43ea2

Answer 1

`(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)`