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Using the formula for squaring a binomial, evaluate the following:(i) (1001)2(ii) (999)2 |
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Answer» (i) (1001)2 Hence we take as , 1001 as 1000 + 1 So, = (1001)2 = (1000 + 1)2 = (1000)2 + 2 (1000) (1) + 12 = 1000000 + 2000 + 1 = 1002001 (ii) (999)2 Hence we take as , 999 as 1000 – 1 So, = (999)2 = (1000 – 1)2 = (1000)2 – 2 (1000) (1) + 12 = 1000000 – 2000 + 1 = 998001 |
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