InterviewSolution
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InterviewSolution
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निम्न के मान ज्ञात कीजिए।(i) (99)3(ii) (9.9)3(iii) (10.4)3(iv) (598)3(v) (402)3(vi) (1002)3 |
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Answer» (i) (99)3 = (100 – 1)3 = (100) – (1)3 – 3 × 100 × 1(100 – 1) = 1000000 – 1 – 30000+ 300 = 970299 (ii) (9.9)3 = (10 – 0.1)3 = (10)3 – (0.1)3 – 3 × 10 × 0.1(10 – 0.1) = 1000 – 0.001 – 3(9.9) = 1000 – 0.001 – 29.7 = 970.299 (iii) (10.4)3 = (10 + 0.4)3 = (10)3 + (0.4)3 + 3 × 10 × 0.4(10 + 0.4) = 1000+ 0.064 + 12(10.4) = 1000 + 0.064 + 124.8 =1124.864 (iv) (598)3 = (600-2)3 = (600)3 – (2)3 – 3 × 600 × 2(600 – 2) = 216000000 – 8-21,60,000 + 7200 =21,38,47,192 (v) (402)3 = (400 + 2)3 = (400)3 + (2)3 + 3 × 400 × 2(400 + 2) = 64000000 + 8 + 960000 + 4800 = 64964808 (vi) (1002)3 = (1000 + 2)3 = (1000)3 + (2)3 + 3 × 1000 × 2(1000 + 2) = 1000000000 + 8+ 6000000 + 12000 = 1006012008 |
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