If `alpha,beta,gamma` are the roots of the equation `ax^3+bx^2+cx+d=0` then find the value of `sum(alpha^2(beta+gamma))`

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)+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) - ax^(2) + bx -c = 0 , then sum alpha^(2) (beta + gamma)=

If alpha,beta,gamma be the roots of ax^3+bx^2+cx+d=0 then find the value of sum 1/alpha .

If alpha, beta and gamma are the roots of the polynomlal equation ax^3 + bx^2 + cx + d = 0, find the value of Sigmaa/(betagamma) in terms of the coefficients.

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

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

If alpha,beta,gamma be the roots of ax^3+bx^2+cx+d=0 then find the value of suma^2 ,

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

If alpha,beta,gamma are roots of the equation x^(3)+px+q=0 then the value of |{:(alpha,beta,gamma),(beta,gamma,alpha),(gamma,alpha,beta):}| is