Question

Factorise:

64a⁶ – 729b⁶

Answer 1

To factorise: 64a⁶ – 729b⁶

Factorise the given expression by using identity.

64a² = (2a²)³,

729b⁶ = (3b²)³

So, 64a² – 729b⁶ = (2a²)³ – (3b²)³

Let a = 2a²

b = 3b²

= (2a² – 3b²) (4a⁴ + 6a²b² + 9b⁴)