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Which is the partial fraction form for 1/((x-1)^2 (x+2))?

AA/(x-1) + B/(x-2) + C/(x+2)
B(Ax+B)/(x-1)^2 + C/(x+2)
CA/(x-1) + B/(x-1)^2 + C/(x+2)
DA/(x-1)^2 + B/(x+2) + C/x
Answer & Solution
Correct answer: C. A/(x-1) + B/(x-1)^2 + C/(x+2)
A repeated linear factor needs a term for each power up to its multiplicity.
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