Question

Expand (104)³

Answer 1

(104)³ = (100 + 4)³

Comparing (100 + 4)³ with (a + b)³ we have a = 100 and b = 4

(a + b)³ = a³ + 3a²b + 3ab² + b³

(100 + 4)³ = (100)³ + 3(100)²(4) + 3(100)(4)² + 4³

= 10,00,000 + 3(10000)4 + 300(16) + 64

= 10,00,000 + 1,20,000 + 4,800 + 64

= 11,24,864