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Question
Evaluate the following by using identities:
10013
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Solution
10013 = (1000 + 1)3
[(a + b)3 = a3 + b3 + 3ab(a + b)]
= (1000)3 + 13 + 3(1000)(1)(1000 + 1)
= 1000000000 + 1 + 3000(1001)
= 1000000001 + 3003000
= 1003003001
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