Which one is correct for the partial fractions of \( \frac{5}{\left ( x - 1 \right ) \left ( 3 x + 2 \right )} ? \)

A \( \frac{1}{x - 1} - \frac{3}{3 x + 2} \)

B \( \frac{1}{x - 1} + \frac{3}{3 x + 2} \)

C \( \frac{3}{x - 1} - \frac{5}{3 x + 2} \)

D \( \frac{2}{x - 1} - \frac{6}{3 x + 2} \)

Solution

Correct Answer: Option A

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