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Algebra Level 3

If 1a+ω+1b+ω+1c+ω=2ω2\large \dfrac{1}{a + \omega} + \dfrac{1}{b + \omega} + \dfrac{1}{c + \omega} = 2 \omega ^2 Then, 1a+1+1b+1+1c+1= ?\large \dfrac{1}{a + 1} + \dfrac{1}{b + 1} + \dfrac{1}{c + 1} = \ ?

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

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