If `alpha, beta, gamma` are the roots of the equation `x^3 + px^2 + qx + r = 0,` then the value of `(alpha - 1/(beta gamma))(beta - 1/(gamma alpha))(gamma - 1/(alpha beta))` is

Options

A. `(r+1)^2/r^2`
B. `-(r+1)^3/r^3`
C. `-(r+1)^3/r^2`
D. `(r+1)^3/r^2`

Answer

C