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valuate by using suitable identities : (998)3

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valuate by using suitable identities : (998)3

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(998)3 =(1000 – 2)3 

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

= 10003 – 3(1000)2 (2) + 3(1000)(2)2 – 23 

= 1000000000 – 6000000 + 12000 – 8 

= 994011992

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