Evaluate the following using suitable identities: (99)^3
Evaluate the following using suitable identities:
(99)3
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It is known that,
(a + b)3 = a3 + b3 + 3ab(a + b)
and (a- b)3 = a3 - b3 -3ab(a - b)
(99)3 = (100 − 1)3
= (100)3 − (1)3 − 3(100) (1) (100 − 1)
= 1000000 − 1 − 300(99)
= 1000000 − 1 − 29700
= 970299
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