If `alpha,beta ` be the roots of the equation `3x^2+2x+1=0,` then find value of `((1-alpha)/(1+alpha))^3+((1-beta)/(1+beta))^3`

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

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

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

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

If alpha,beta are the roots of the equation x^(2)+x+1=0 , find the value of alpha^(3)-beta^(3) .

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

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

If alpha and beta be the roots of the equation x^(2)+3x+1=0 then the value of ((alpha)/(1+beta))^(2)+((beta)/(alpha+1))^(2)

If alpha and beta be the roots of equation x^(2) + 3x + 1 = 0 then the value of ((alpha)/(1 + beta))^(2) + ((beta)/(1 + alpha))^(2) is equal to