Question

Expand (52)³

Answer 1

(52)³ = (50 + 2)³

Comparing (50 + 2)³ with (a + b)³ we have a = 50 and b = 2

(a + b)³ = a³ + 3a²b + 3ab² + b³

(50 + 2)³ = 50³ + 3(50)²(2) + 3(50)(2)² + 2³

52³ = 1,25,000 + 6(2,500) + 150(4) + 8

= 1,25,000 + 15,000 + 600 + 8

52³ = 1,40,608