Question

Factorise the following:

16x² – 9y²

Answer 1

We are given:

16x² – 9y²

This is a difference of squares:

a² – b² = (a – b)(a + b)

Here: 16x² = (4x)², 9y² = (3y)²

So: 16x² – 9y² = (4x)² – (3y)²

Apply the identity:

(4x – 3y)(4x + 3y)