# Unity in Math

Algebra Level 4

If $$\omega^3 = 1$$, where $$\omega \ne 1$$. And $$z_1 = 2\omega + 3\omega^2 , z_2 = 2\omega^2 + 3\omega , z_3 = 5$$.

Find the value of $$z_1^3 + z_2^3 + z_3^3$$.

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