InterviewSolution
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InterviewSolution
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Using the formula for squaring a binomial, evaluate the following:(i) (102)2(ii) (99)2(iii) (1001)2(iv) (999)2(v) (703)2 |
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Answer» (i) (102)2 This can be written as: (100 + 2)2 = (100)2 + 2 (100) (2) + 22 = 10000 + 400 + 4 = 10404 (ii) (99)2 This can be written as: (100 – 1)2 = (100)2 – 2 (100) (1) + 12 = 10000 – 200 + 1 = 9801 (iii) (1001)2 This can be written as: (1000 + 1)2 = (1000)2 + 2 (1000) (1) + 12 = 1000000 + 2000 + 1 = 1002001 (iv) (999)2 This can be written as: (1000 – 1)2 = (1000)2 – 2 (1000) (1) + 12 = 1000000 – 2000 + 1 = 998001 (v) (703)2 This can be written as: (700 + 3)2 = (700)2 + 2 (700) (3) + 32 = 490000 + 4200 + 9 = 494209 |
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