Think Logically not mathematically [part-32]

Algebra Level 4

\[(a^3+a^2+a)+(b^3+b^2+b)+(c^3+c^2+c)\]

If \(a\), \(b\), and \(c\) are the roots of the equation \(x^3+2x=1\), then find the value of the expression above.

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