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Question
Evaluate the following using suitable identity:
(102)3
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Solution
It is known that,
(a + b)3 = a3 + b3 + 3ab(a + b) and (a − b)3 = a3 − b3 − 3ab(a − b)
∴ (102)3 = (100 + 2)3
= (100)3 + (2)3 + 3(100)(2)(100 + 2)
= 1000000 + 8 + 600(102)
= 1000000 + 8 + 61200
= 1061208
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