The Answer Is n^2 Part II

Algebra Level 2

312δ112δ1+312δ212δ2+312δ312δ3 \dfrac{31-2\delta_{1}}{1-2\delta_{1}} +\dfrac{31-2\delta_{2}}{1-2\delta_{2}}+\dfrac{31-2\delta_{3}}{1-2\delta_{3}}

If 1,δ1,δ2,δ31,\delta_{1},\delta_{2},\delta_{3} are distinct fourth roots of unity, then evaluate the expression above.

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