# Are you making its root?

Algebra Level 4

$\frac{a^6-1}{a-1}+\frac{b^6-1}{b-1}+\frac{c^6-1}{c-1}$

Let $$a$$, $$b$$ and $$c$$ be the roots of the equation $$x^3+3x-7=0$$. Find the value of the expression above.

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