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Performing the partial fraction decomposition of (x+1)/((x-1)^2(x+2)) using the substitution method. Common Partial Fraction Forms 1. Distinct linear factors Function: f(x) / [(x − a)(x − b)(x − c)] Decomposition: A/(x−a) + B/(x−b) + C/(x−c) 2. Repeated linear factor Function: f(x) / [(x − a)ⁿ] Decomposition: A/(x−a) + B/(x− ...
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