Question

Q2)Factorise:64a³–27b³–144a²b+108ab²

Answer 1

Step-by-step explanation:

64a³ - 27b³ - 144a²b + 108ab²

Here, using the identity -

(a - b)³ = a³ - b³ - 3a²b + 3ab²

⇒ 64a³ - 27b³ - 144a²b + 108ab²

= (4a)³ - (3b)³ - 3(4a)²*(3b) + 3(4a)*(3b)²

⇒ (4a - 3b)³

⇒ (4a - 3b)*(4a - 3b)*(4a - 3b)