If `alpha, beta` and `gamma` are the roots of equation `144x^3-37x+7=0` then the value of `(alpha+beta)^2+(beta+gamma)^2+(gamma+alpha)^2=`

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

If alpha, beta, gamma are the roots of the equation x^3 + px^2 + qx + r = n then the value of (alpha - 1/(beta gamma)) (beta -1/(gamma alpha)) (gamma-1/(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,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 -7x +6=0 then find the equation whose roots are (alpha-beta)^2 ,(beta-gamma)^2,(gamma-alpha)^2

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

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

If alpha,beta,gamma are the roots if the equation x^3-3x+11=0 then the equation whose roots are (alpha+beta),(beta+gamma),(gamma+alpha is