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Question
Using suitable identity, evaluate the following:
1033
Solution
1033 = (100 + 3)3
= (100)3 + (3)3 + 3 × 10 × 3 × (100 + 3) ...[Using identity, (a + b)3 = a3 + b3 + 3ab(a + b)]
= 1000000 + 27 + 900(103)
= 1000027 + 92700
= 1092727
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