Question

Evaluate using the formula:

79³ + 3(79)² + 3(79) + 1

Answer 1

79³ + 3(79)² + 3(79) + 1

Here, a = 79

Using the identity:

a³ + 3a² + 3a + 1 = (a + 1)³

Thus, 

79³ + 3(79)² + 3(79) + 1 = (79 + 1)³

∴ (79 + 1)³ = (80)³

∴ 79³ + 3(79)² + 3(79) + 1 = 5,12,000