Practicing Success
If a - \(\frac{1}{a - 5}\) = 10 Then find , (a - 5)3 - \(\frac{1}{(a - 5)^3}\) |
135 150 140 138 |
140 |
Given = a - \(\frac{1}{a - 5}\) = 10 By subtracting 5 on both sides we get, (a - 5) - \(\frac{1}{a - 5}\) = 10 - 5 = 5 (a - 5)3 - \(\frac{1}{(a - 5)^3}\) = 53 + 3 × 5 = 140
Note - if x - \(\frac{1}{x}\) = a then x3 - \(\frac{1}{x^3}\) = a3 + 3a |