If `alpha ,beta,gamma` are the roots of
` x^3 -7x +6=0 ` then find the equation whose roots are `(alpha-beta)^2 ,(beta-gamma)^2,(gamma-alpha)^2`

If alpha , beta , gamma are the roots of x^3 - 6x^2 +11 x-6=0 then find the equation whose roots are alpha^2 + beta^2, beta^2 + gamma^2 , gamma^2 + alpha^2

If alpha , beta , gamma are the roots of x^3 -7x + 6 =0 the equation whose roots are alpha + beta , beta + gamma , gamma + alpha is

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

If alpha , beta , gamma are the roots of x^3 + 3x^2 -4x +2=0 then the equation whose roots are (1)/( alpha beta) ,(1)/( beta gamma) ,(1)/( gamma alpha) is

If alpha , beta , gamma are the roots of x^3 + px^2 + qx + r=0 form the equation whose roots are alpha beta , beta gamma , gamma alpha

If alpha, beta, gamma are the roots of the cubic equation x^(3)+qx+r=0 then the find equation whose roots are (alpha-beta)^(2),(beta-gamma)^(2),(gamma-alpha)^(2) .

If alpha , beta , gamma are the roots of x^3 +4x^2 -2x -3=0 then find the equation whose roots are (alpha)/(3), ( beta)/(3) , ( gamma)/(3) .

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

If alpha,beta,gamma are the roots of the equation x^3-p x+q=0, then find the cubic equation whose roots are alpha/(1+alpha),beta/(1+beta),gamma/(1+gamma) .

If alpha, beta, gamma are the roots of x^(3) + 2x^(2) - 4x - 3 = 0 then the equation whose roots are alpha//3, beta//3, gamma//3 is