`(alpha - beta)^3`

If alpha , beta are the roots of ax ^2-2bx + c=0 then alpha ^3 beta ^3 + alpha ^2 beta ^3 + alpha ^3 beta ^2 =

If Delta = |(cos (alpha_(1) - beta_(1)),cos (alpha_(1) - beta_(2)),cos (alpha_(1) - beta_(3))),(cos (alpha_(2) - beta_(1)),cos (alpha_(2) - beta_(2)),cos (alpha_(2) - beta_(3))),(cos (alpha_(3) - beta_(1)),cos (alpha_(3) - beta_(2)),cos (alpha_(3) - beta_(3)))|" then " Delta equals

If Delta = |(cos (alpha_(1) - beta_(1)),cos (alpha_(1) - beta_(2)),cos (alpha_(1) - beta_(3))),(cos (alpha_(2) - beta_(1)),cos (alpha_(2) - beta_(2)),cos (alpha_(2) - beta_(3))),(cos (alpha_(3) - beta_(1)),cos (alpha_(3) - beta_(2)),cos (alpha_(3) - beta_(3)))|" then " Delta equals

IF alpha , beta are the roots of ax ^2 + bx +c=0 then (alpha ^3 + beta ^3)/(alpha ^(-3) + beta ^(-3)) =

If alpha , beta are the roots of ax^(2) + bx +c=0 , then (alpha^(3) + beta^(3))/(alpha^(-3) + beta^(-3)) is equal to :

If alpha , beta are the roots of ax^(2) + bx +c=0 , then (alpha^(3) + beta^(3))/(alpha^(-3) + beta^(-3)) is equal to :

If alpha, beta are the roots of ax^(2) - 26x + c = 0 , then alpha^(3) beta^(3) + alpha^(2) beta^(3) + alpha^(3) beta^(2) equals :

IF alpha + beta =- 2 and alpha ^3 + beta ^3 =- 56 , then the quadratic equation whose roots are alpha and beta is