The Three Rooty Polynomial

Algebra Level 5

Let r,sr, s, and tt be the three roots of the equation 8x3+1001x+2008=0.8x^3 + 1001x + 2008 = 0.

Find (r+s)3+(s+t)3+(t+r)3(r + s)^3 + (s + t)^3 + (t + r)^3

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