# How quickly can you solve this?

Algebra Level 3

If $\large \dfrac{1}{a + \omega} + \dfrac{1}{b + \omega} + \dfrac{1}{c + \omega} = 2 \omega ^2$ Then, $\large \dfrac{1}{a + 1} + \dfrac{1}{b + 1} + \dfrac{1}{c + 1} = \ ?$

Notation: $$\omega$$ denote the cube root of unity.

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