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Question
Using suitable identity, evaluate (104)3
Solution
Using identity: (a ± b)3 = a3 ± b3 ± 3ab(a ± b)
(104)3 = (100 + 4)3
= (100)3 + (4)3 + 3 × 100 × 4(100 + 4)
= 1000000 + 64 + 1200 × 104
= 1000000 + 64 + 124800
= 1124864
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