If $\frac{3 x+1}{(x-1)\left(x^2+2\right)}=\frac{A}{x-1}+\frac{B x+C}{x^2+2}$, then $5(A-B)=$

• A

  $\mathrm{A}+\mathrm{C}$
• Correct answer
  B

  $8 C$
• C

  $\mathrm{C}+8$
• D

  $\frac{C}{8}$

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