Question

Evaluate using the formula:

48³ + 6(48)² + 12(48) + 8

Answer 1

48³ + 6(48)² + 12(48) + 8

This equation matches the expanded form of

a³ + 3a²b + 3ab² + b³ = (a + b)³

Here, a = 48, b = 2

48³ + 3(48)²(2) + 3(48)(2)² + (2)³ = (48 + 2)³

48³ + 6(48)² + 12(48) + 8 = (50)³

∴ 48³ + 6(48)² + 12(48) + 8 = 125000