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Question
Evaluate the following by using identities:
983
Solution
983 = (100 – 2)3 [(a – b)3 = a3 – b3 – 3ab(a – b)]
= 1003 – (2)3 – 3(100)(2)(100 – 2)
= 1000000 – 8 – 600(98)
= 1000000 – 8 – 58800
= 1000000 – 58808
= 941192
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