[" Let "alpha,beta,gamma" are the roots of the equation,"8x^(3)+1001x+2008=],[" 0."],[" The value of "(alpha+beta)^(3)+(beta+gamma)^(3)+(gamma+alpha)^(3)" is "]

Let alpha,beta,gamma be the roots of the equation 8x^(3)+1001x+2008=0 then the value (alpha+beta)^(3)+(beta+gamma)^(3)+(gamma+alpha)^(3) is

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

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

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