Question

Expand (97xy)³

Answer 1

(97xy)³ = 97³x³y³ 

= (100 – 3)x³y³  ...(1)

Comparing (100 – 3)³ with (a – b)³ we have a = 100 and b = 3

(a – b)³ = a³ – 3a²b + 3ab² – b³

(100 – 3)³ = (100)³ – 3(100)²(3) + 3(100)(3)² – 3³

97³ = 10,00,000 – 90000 + 2700 – 27

97³ = 910000 + 2673

97³ = 912673

97x³y³ = 912673x³y³