Let `r ,s ,a n dt` be the roots of equation `8x^3+1001 x+2008=0.` Then find the value of `(r+s)^3 +(s+t)^3+(t+r)^3` .

Let r,s and t be the roots of the equation, 8x^(3)+1001x+2008=0. The value of (r+s)^(3)+(s+t)^(3)+(t+r)^(3)is

Let r be a root of the equation x^(2)+2x+6=0. The value of (r+2)(r+3)(r+4)(r+5) 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

Let r be a root of the equation x^(2)+2x+6=0. The value of (r+2)(r+3)(r+4)(r+5) is equal to-

Let r,s and t be the roots of the equation 8x^(3)+1001x+2008=0 and if 99lamda=(r+s)^(3)+(s+t)^(3)+(t+r)^(3) , the value of [lamda] is (where [.] denotes the greatest integer function)

Let r _(1) s_(1) t be the roots of the equation x ^(3) + ax ^(2) +bx+c=0, such that (rs )^(2) + (st)^(2) + (rt)^(2) =b^(2)-kac, then k =

If r and s are variables satisfying the equation (1)/(r+s) =1/r+1/s. The value of ((r )/(s ))^(3) is equal to :