If a - \(\frac{1}{a - 4}\) = 6 Then find , (a - 4)3 - \(\frac{1}{(a - 4)^3}\)

10 14 12 15

14

Given = a - \(\frac{1}{a - 4}\) = 6 By subtracting 4 on both sides we get, (a - 4) - \(\frac{1}{a - 4}\) = 6 - 4 = 2 (a - 4)3 - \(\frac{1}{(a - 4)^3}\) = 23 + 3 × 2 = 14   Note - if x -  \(\frac{1}{x}\) = a then x3 - \(\frac{1}{x^3}\) =  a3 + 3a