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 sum(alpha - beta )^(2) =

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

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

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 prove that ( alpha + beta ) ( beta + gamma) ( gamma + alpha ) =r-pq

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

If alpha, beta , gamma are the zeros of the polynomial x^(3) - px^(2) + qx - r then 1/(alpha beta) + 1/(beta gamma) + 1/(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)=