InterviewSolution
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InterviewSolution
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Using suitable identity, evaluate the following(i) 1033(ii) 101 x 102(iii) 9992 |
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Answer» (i) 1033 = (100 + 3)3 = (100)3 + (3)3 + 3 x 100 x 3 x (100 + 3) = 1000000 + 27 + 900 (103) = 1000027 + 92700 = 1092727 (ii) 101 x 102 = (100 + 1) (100 + 2) = (100) + 100(1 + 2) + 1 x 2 = 10000 + 300 + 2 = 10302 (iii) (999)2 = (1000 - 1)2 = (1000)2 + (1)2 - 2 x 1000 x 1 = 1000000 + 1 - 2000 = 998001 |
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