# Cubes of a cubic

Algebra Level 4

Let the roots of the cubic equation $${ x }^{ 3 }-3{ x }^{ 2 }+5x-7$$ be $$\alpha, \beta \quad and \gamma$$ . Then find $$\alpha ^{ 3 }+\beta ^{ 3 }+\gamma ^{ 3 }$$

This problem is a part of my set The Best of Me

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