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If a - \(\frac{1}{a - 5}\) = 11 Then find , (a - 5)3 - \(\frac{1}{(a - 5)^3}\) |
222 243 234 300 |
234 |
Given = a - \(\frac{1}{a - 5}\) = 11 By subtracting 5 on both sides we get, (a - 5) - \(\frac{1}{a - 5}\) = 11 - 5 = 6 (a - 5)3 - \(\frac{1}{(a - 5)^3}\) = 63 + 3 × 6 = 234
Note - if x - \(\frac{1}{x}\) = a then x3 - \(\frac{1}{x^3}\) = a3 + 3a |
