Question

(viii) (a² + 9b² – c²)² – 36a²b²​

Answer 1

Step-by-step explanation:

(a² + 9b² – c²)² – 36a²b²

=(a² + 9b² – c²)² – (6ab)²

=(a² + 9b² – c²+6ab)(a² + 9b² – c²-6ab)

=[(a+3b)²-c²] [(a-3b)²-c²]

=(a+3b+c)(a+3b-c)(a-3b+c)(a-3b-c)