If a - \(\frac{1}{a - 5}\) = 27 Then find , (a - 5)3 - \(\frac{1}{(a - 5)^3}\)

10663 17896 12675 13564

10663

Given = a - \(\frac{1}{a - 5}\) = 27 By subtracting 5 on both sides we get, (a - 5) - \(\frac{1}{a - 5}\) = 27 - 5 = 22 (a - 5)3 - \(\frac{1}{(a - 5)^3}\) = 223 + 3 × 5 = 10663   Note - if x -  \(\frac{1}{x}\) = a then x3 - \(\frac{1}{x^3}\) =  a3 + 3a