If `alpha,beta,gamma` are the roots of he euation `x^3+4x+1=0,` then find the value of `(alpha+beta)^(-1)+(beta+gamma)^(-1)+(gamma+alpha)^(-1)` .

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

If alpha, beta, gamma are the roots of the equation x^(3) + x + 1 = 0 , then the value of alpha^(3) + beta^(3) + gamma^(3) , is

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

If alpha,beta,gamma are the roots of the equation x^(3)+4x+1=0 then (alpha+beta)^(-1)+(beta+gamma)^(-1)+(gamma+alpha)^(-1)=