If `x^3+3x^2-9x+c` is of the form `(x-alpha)^2(x-beta)` then `c` is equal to

If x^(3)+3x^(2)-9x+lamda is of the form (x-alpha)^(2)(x-beta) then lamda is equal to

If x^3+3x^2-9x+c is the form (x-alpha)^2(x - beta) , then the positive value of c is .........

The set of values of c for which x^3 -6x^2 + 9x -c is of the form (x-a)^2(x - b) (a, b is real) is given by

The set of values of c for which x^(3)-6x^(2)+9x-c is of the form (x-a)^(2)(x-b)(a,b is real) is given by

If alpha , beta in C are the distinct roots of the equation x^2-x+1 = 0 , then (alpha)^101+(beta)^107 is equal to

If x^(3)+3x^(2)-9x+c=0 have roots alpha,alpha and beta then possible value of alpha+beta is