Manipulating the Roots of a Cubic

Number Theory Level 4

Let aa, bb, and cc be the roots of the polynomial x3+x−1x^3+x-1. Find

1+a1−a+1+b1−b+1+c1−c\dfrac{1+a}{1-a}+\dfrac{1+b}{1-b}+\dfrac{1+c}{1-c}

Finn Hulse by Finn Hulse
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