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Step-by-step solution for expressing a rational function in partial fractions, showing irreducibility of quadratic factor and solving for constants.

$Partial fraction decomposition of (3x² + 2x + 1) / ((x + 1)(x² + 2x + 2)) with step-by-step solution, including discriminant check and substitution method.$

Partial fraction decomposition of (3x² + 2x + 1) / ((x + 1)(x² + 2x + 2)) with step-by-step solution, including discriminant check and substitution method.

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