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Let \(a, b, c\) be the three roots (counted with multiplicity) of \(P = X^3 - 6 X^2 + 11 X - 6\). Compute \(a^2 + b^2 + c^2\) without using the explicit values of the roots. Hint. Use the identity \(a^2 + b^2 + c^2 = (a + b + c)^2 - 2(ab + ac + bc)\).
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