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 (1)/(alpha beta ) =

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 alpha^(2) beta^(2) =

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 roots of the equation px^(3) + qx^(2) + rx + s = 0 then sum alpha^(2) beta^(2) =

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)+px^(2)+qx+r= 0 , then prove that (1-alpha^(2))(1- beta^(2)) (1- gamma^(2))=(1+q)^(2)-(p+r)^(2)

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