If `alpha,beta,gamma` are the cube roots of p, then for any x,y,z `(x alpha + y beta + z gamma)/(x beta + y gamma + z alpha` =

If alpha,beta,gamma are the cube roots of p then for any x,y and z(x alpha+y beta+z gamma)/(x beta+y gamma+z alpha) is

If alpha,beta,gamma are cube roots of of p<0 then for any real x,y,z;(x alpha+y beta+z gamma)/(x beta+y gamma+z alpha)=

If 1, omega, omega^(2) are the three cube roots of unity and alpha, beta, gamma are the cube roots of p, plt0 , then for any x, y, z the expression (x alpha+y beta+z gamma)/(x beta+y gamma+z alpha)=

If alpha, beta,gama are the cube roots of p, then for any x,y and z, frac{x(alpha)+y(beta)+z(gama)}{x(beta)+y(gama)+z(gama)} =

If alpha, beta, gamma are the roots of x^3+a x^2+b=0 then the value of [[alpha , beta , gamma],[beta , gamma , alpha],[gamma , alpha , beta]] is

If alpha, beta, gamma are the cube roots of a negative number p, then for any three real numbers x,y,z the value of (x alpha+y beta+ z gamma)/(x beta +y gamma+z alpha) is