Question

Factorise the following:

4c² – a² – 2ab – b²

Answer 1

Given 4c² – a² – 2ab – b²

⇒ 4c² – (a² + 2ab + b²)

⇒ 4c² – (a + b)²

We know that,

(a + b) (a – b) = a² – b²

Hence,

⇒ (2c + a + b) (2c – a – b)