Question

64 a cube - 27 b cube - 144 a square b + 108 a b square

Answer 1

Answer:

(4a - 3b)³

Step-by-step explanation:

(64a)³ - (27b)³ - 144 a²b  + 108 ab² =

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

(∵ a³ - b³ - 3a²b + 3ab²= (a - b)³)

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

(4a - 3b)³