Question

Evaluate the following by using identities (100 -2)3

Answer 1

Formula:

(a - b)³ = a³ - 3a²b + 3ab² - b³

Solve  (100 - 2)³:

(100 - 2)³ = (100)³ - 3(100)²(2) + 3(100)(2)² - (2)³

(100 - 2)³ = 1000000 - 3(10000)(2) + 3(100)(4) - 8

(100 - 2)³ = 1000000 - 60000 + 1200 - 8

(100 - 2)³ = 941192

Answer: 941192

Answer 2

using identities answer is (100-2)3 = 314