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

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

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

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 the roots of the equation px^3 - qx + r = 0 , then the value of alpha + beta + gamma is

If alpha, beta and gamma are the roots of the equation x^(3)-px^(2)+qx-r=0 , then the value of (alphabeta)/(gamma)+(betagamma)/(alpha)+(gammaalpha)/(beta) is equal to

If alpha, beta and gamma are the roots of the equation x^(3)-px^(2)+qx-r=0 , then the value of (alphabeta)/(gamma)+(betagamma)/(alpha)+(gammaalpha)/(beta) is equal to

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