Question

Factorise the following:

(a² + 4b² – c²)² – 16a²b²

Answer 1

Given: (a² + 4b² – c²)² – 16a²b²

We know that,

(a + b)(a – b) = a² – b²

Hence,

⇒ (a² + 4b² – c²) – (4ab)²

⇒ (a² + 4b² – c² + 4ab)(a² + 4b² – c² – 4ab)