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Evaluate by using suitable identities : (99)^3

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Evaluate by using suitable identities : (99)3

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Best answer

(99)3 = (100 – 1)3 

= 1003 – 3 (100)2 (1) + 3 (100) (1)2 – 13 

[ ∵ (x – y)3 = x3 – 3x2y + 3xy2 + y3 ] 

= 1000000 – 30000 + 300 – 1 

= 970299

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