[" Let "alpha,beta" and "gamma" be the roots of the equation,then "(a beta(a+beta)+beta r(beta+gamma)+a gamma(y+a))/(a^(2)+beta^(2)+y^(2))],[" is equal to "]

Let alpha, beta and gamma be the roots of equation x^(3)+x+1=0 , then (alpha beta(alpha+beta)+betagamma(beta+gamma)+gamma alpha(gamma+alpha))/(alpha^(2)+beta^(2)+gamma^(2)) is equal to

Let alpha, beta and gamma be the roots of equation x^(3)+x+1=0 , then (alpha beta(alpha+beta)+betagamma(beta+gamma)+gamma alpha(gamma+alpha))/(alpha^(2)+beta^(2)+gamma^(2)) is equal to

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

Let , alpha ,beta,gamma be the roots of x^3+px^2+qx+r=0 . Then find the (v) (alpha+beta)(beta+gamma)(gamma+alpha)

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

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

If alpha, beta, gamma are the cube roots of 8 , then |(alpha,beta,gamma),(beta,gamma,alpha),(gamma,alpha,beta)|=

If alpha, beta, gamma are the cube roots of 8 , then |(alpha,beta,gamma),(beta,gamma,alpha),(gamma,alpha,beta)|=