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Using suitable identity find the value of (999)3. |
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Answer» ∵ 999 = (1000 – 1) ∴ 9993 = (1000 – 1)3 = (1000)3 – 13 – 3 x 1000 x 1 (1000 – 1) 9993 = 1000000000 – 1 – 3000 (1000 - 1) 9993 = 1000000000 – 1 – 3000000 + 3000 =>1000003000 – 3000001 9993 = 997002999 |
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