Q6 of 25 Page 8

Using binomial theorem, evaluate each of the following (96)3


We express 96 as the sum or difference of two numbers whose powers are easier to calculate, and then use Binomial Theorem
Write 96 = 100 - 4
Therefore
(96)3 = (100 - 4)3
        = 3C0 (100)3 - 3C1(100)2(4) + 3C2(100)1(4)2 - 3C3(4)3
        = 1000000 -3 (10000) (4) + 3 (100) (16) - (64)
        = 1000000 - 120000 + 4800 - 64
        = 884736

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