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If a - \(\frac{1}{a - 4}\) = 5 Then find , (a - 4)3 - \(\frac{1}{(a - 4)^3}\) |
1 2 3 4 |
4 |
Given = a - \(\frac{1}{a - 4}\) = 5 By subtracting 4 on both sides we get, (a - 4) - \(\frac{1}{a - 4}\) = 5 - 4 = 1 (a - 4)3 - \(\frac{1}{(a - 4)^3}\) = 13 + 3 × 1 = 4
Note - if x - \(\frac{1}{x}\) = a then x3 - \(\frac{1}{x^3}\) = a3 + 3a |
