If `alpha, beta and gamma` are the roots of `x^3 +px^2+qx+r=0` then find the following : `sum alpha^3beta^3`

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

If alpha, beta and gamma are the roots of x^3 +px^2+qx+r=0 then find the following : (i) alpha + beta + gamma (ii) alpha xx beta + beta xx gamma + gamma xx alpha (iii) alpha xx beta xx gamma

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

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

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

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

If alpha, beta and gamma are the roots of x^3 +px^2+qx+r=0 then find the following : (beta^2+gamma^2)/(beta gamma)+(gamma^2+alpha^2)/(gamma alpha) +(alpha^2+beta^2)/(alphabeta) or sum (beta^2+gamma^2)/(beta gamma)

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

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

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