Question

Factorise.

4p² − 9q²

Answer 1

4p² − 9q²  

On writing it as follows:

= (2p)² − (3q)²

Using the identity a² − b² = (a − b) (a + b)

= (2p − 3q) (2p + 3q)

= (a − b) (a + b)