" If "alpha,beta&r" are the roots of the equation "x^(3)+px+q=0." Then the value of the determ "

If alpha,beta& gamma are the roots of the equation x^(3)+px+q=0, then the value of the det[[alpha,beta,gammabeta,gamma,alphagamma,alpha,beta]] is

If alpha,beta & gamma are the roots the equations x^(3)+px+q=0 then the value of the determinant [{:(,alpha,beta,gamma),(,beta,gamma,alpha),(,gamma,alpha,beta):}]

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

If alpha and beta are the roots of the equation x^2-px + q = 0 then the value of (alpha+beta)x -((alpha^2+beta^2)/2)x^2+((alpha^3+beta^3)/3)x^3+... is

If alpha and beta are the roots of the equation x^(2)-px+q=0 then the value of (alpha+beta)x-((alpha^(2)+beta^(2))/(2))x^(2)+((alpha^(3)+beta^(3))/(3))x^(3)+ is

If alpha and beta are the roots of the equation x^2-px + q = 0 then the value of (alpha+beta)x -((alpha^2+beta^2)/2)x^2+((alpha^3+beta^3)/3)x^3+... is