# Take it easy :')

Algebra Level 4

$\large { { \left (\frac { 2\omega +1 }{ \omega } \right ) }^{ 1000 }-{ \left (\frac { { \omega }^{ 2 }-1 }{ { \omega }^{ 2 } } \right ) }^{ 1000 } = \ ? }$

Details and Assumptions

$$w$$ denote the cube root unity, which is the root of $$x^3 = 1$$ other than $$1$$.

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