Question:medium

If $\frac{3x+1}{(x-1)^2(x^2+1)} = \frac{A}{x-1} + \frac{B}{(x-1)^2} + \frac{Cx+D}{x^2+1}$, then $2(A-C+B+D)=$

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When dealing with partial fractions involving repeated linear factors like $(x-a)^2$, remember to include terms for each power: $\frac{A}{x-a} + \frac{B}{(x-a)^2}$. The "cover-up" method works for the highest power (finding B), but other methods like substituting values or equating coefficients are needed for the other constants.

Updated On: Mar 30, 2026

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The Correct Option is D

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