Let a and b be the roots of the quadratic 2x^2 - 8x + 7 = x^2 - 14x + 2. Compute a^3/b^3 + b^3/a^3.
Simplify as
x^2 + 6x + 5 = 0 factor as
(x + 3)(x + 2) = 0
The roots are -3 and -2
(-3)^3 / (-2)^3 + (-2)^3 / (-3)^3 =
27 / 8 + 8 / 27 =
793 / 216
+866 
