if `alpha,beta,gamma `are the roots of `x^3-3x^2 +3x + 7 =0` then `(alpha-1)/(beta-1)+(beta-1)/(gamma-1)+(gamma-1)/(alpha-1)`

if alpha, beta, gamma are roots of x^3-3x^2+3x+7=0 , then find (alpha-1)/(beta-1)+(beta-1)/(gamma-1)+(gamma-1)/(alpha-1)

If alpha , beta , gamma are the roots of x^3 -3x^2 +3x+7=0 then show that (alpha-1)/( beta-1) +(beta -1)/(gamma -1) +(gamma -1)/( alpha-1) = 3 omega ^2 where omega is complex cube of unity .

If alpha , beta , gamma are the roots of x^3 -3x^2 +3x+7=0 then show that (alpha-1)/( beta-1) +(beta -1)/(gamma -1) +(gamma -1)/( alpha-1) = 3 omega where omega is complex cube of unity .

If alpha, beta, gamma are the roots of x^(3) + x^(2) + x + 1 = 0 then (alpha - beta)^(2) + (beta - gamma)^(2) + (gamma - alpha)^(2) =

If alpha,beta,gamma are the roots of the equation x^3 + 4x +1=0 then (alpha+beta)^(-1)+(beta+gamma)^(-1)+(gamma+alpha)^(-1)=

If alpha,beta,gamma are the roots of the equation x^3 + 4x +1=0 then (alpha+beta)^(-1)+(beta+gamma)^(-1)+(gamma+alpha)^(-1)=

If alpha, beta ,gamma are the roots of 2x^(3) - 5x^(2) + 3x - 1 = 0 then (1)/(alpha beta ) + (1)/(beta gamma) + (1)/(gamma alpha) =

If alpha, beta , gamma are roots of x^(3) + 2x^(2) - 1 = 0 then (1)/(alpha) + (1)/(beta) + (1)/(gamma ) =

If alpha,beta,gamma are the roots of the equation x^(3)+4x+1=0 then (alpha+beta)^(-1)+(beta+gamma)^(-1)+(gamma+alpha)^(-1)=