Q61 / 160 · TS EAMCET 2025 (04 May Shift 2) · Mathematics

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

  • A
    0
  • B
    1
  • C
    2
  • Correct answer
    D
    -1

Hence, the correct answer is option: 'D'.

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