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

A.

\(\frac{2 - x}{(2x - 1)(x - 2)}\)

B.

\(\frac{5 - x}{(2x - 1)(x - 2)}\)

C.

\(\frac{4 - 2x}{2x - 1}\)

D.

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

Correct answer is C

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

= \(\frac{3}{2x - 1}\) - \(\frac{x - 2}{x - 2}\)

= \(\frac{3}{2x - 1}\) - 1

= \(\frac{3 - (2x - 1)}{2x - 1}\)

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

= \(\frac{4 - 2x}{2x - 1}\)