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+q=0, then the value of the det[[alpha,beta,gammabeta,gamma,alphagamma,alpha,beta]] is

If alpha , beta , gamma are the roots of x^3+px+q=0 , then the value of the determine |(alpha,beta,gamma),(beta,gamma,alpha),(gamma,alpha,beta)| is

If alpha , beta and gamma are roots of the equations x^3+px+q=0 then the value of det : [(alpha,beta,gamma),(beta,gamma,alpha),(gamma,alpha,beta)] is

If alpha,beta,gamma are roots of the equation x^(3)+px+q=0 then the value of |{:(alpha,beta,gamma),(beta,gamma,alpha),(gamma,alpha,beta):}| is

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

If alpha, beta and gamma are the roots of the equation x^(3) + px + q = 0 (with p != 0 and p != 0 and q != 0 ), the value of the determinant |(alpha,beta,gamma),(beta,gamma,alpha),(gamma,alpha,beta)| , is

If alpha, beta and gamma are the roots of the equation x^(3) + px + q = 0 (with p != 0 and p != 0 and q != 0 ), the value of the determinant |(alpha,beta,gamma),(beta,gamma,alpha),(gamma,alpha,beta)| , is

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