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Let the roots of the cubic equation x3−3x2+5x−7 { x }^{ 3 }-3{ x }^{ 2 }+5x-7 x3−3x2+5x−7 be α,βandγ\alpha, \beta \quad and \gamma α,βandγ . Then find α3+β3+γ3\alpha ^{ 3 }+\beta ^{ 3 }+\gamma ^{ 3 } α3+β3+γ3
This problem is a part of my set The Best of Me
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