Sarthaks Test
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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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