Evaluate 97 using identity – InterviewSolution

1.

Evaluate 97 using identity

Answer»

97^3= (100 - 3)^3

Using identity (a − b)^3 = a^3 - b^3 - 3ab(a - b)

(100 - 3)^3= (100)^3 - (3)^3 - 3*100*3(100-3)= 1000000 - 27 - 900*97= 1000000 - 27 - 87300= 1000000 - 87327= 912673

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