InterviewSolution
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InterviewSolution
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निम्न के मान ज्ञात कीजिए।(a) (25)3 – (75)3 + (50)3(b) (0.2)3 – (0.3)3 + (0.1)3 (c) (1.5)3 – (0.9)3 – (0.6)3(d) (-12)3 + 73 + 53 |
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Answer» (a) (25)3 – (75)3 + (50)3 = (25)3 – (25 + 50)3 + (50)3 = (25)3 – (25)3 – (50)3 – 3 × 25 × 50(25 + 50) + (50)3 =-3 × 25 × 50 × 75 = -281250 (b) (0.2)3 – (0.3)3 + (0.1)3 = (0.2)3 – (0.2 + 0.1) + (0.1) 3 = (0.2)3 s – (0.2)3 – (0.1)3 – 3 × 0.2 × 0.1 × (0.2 + 0.1) + (0.1)3 =-3 × 0.2 × 0.1 × (0.3) = -0.018 (c) (1.5)3 – (0.9)3 – (0.6)3 = (0.9 + 0.6)3 – (0.9)3 – (0.6)3 = (0.9)3 + (0.6)3 + 3 × 0.9 × 0.6 × (0.9 + 0.6) – (0.9)3 – (0.6)3 = 3 × 0.9 × 0.6 × 1.5 = 2.430 (d) (-12)3 + 73 + 53 ⇒ 73 + (-7 – 5)3 + 53 ⇒ 73 + (-7)3 + (-5)3 + 3 × (-7)(-5)(-7 – 5) + 53 = 3 × -7 × -5(-12) = 105 × (-12) = -1260 |
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