Cubes and cubes

Algebra Level 4

(x2+x2)3+(2x2x1)3=27(x21)3\large (x^{2}+x-2)^{3}+(2x^{2}-x-1)^{3}=27 (x^{2}-1)^3

If the four distinct real roots to the equation above are aa, bb, cc and dd, find (a+b+c+d)-(a+b+c+d).

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