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
\(\frac{6 - 3x}{(2x - 1)(x - 2)}\)
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
\(\frac{3}{2x - 1}\) + \(\frac{2 - x}{x - 2}\)
= \(\frac{3}{2x - 1}\) - \(\frac{x - 2}{x - 2}\)
= \(\frac{3}{2x - 1}\) - 1
= \(\frac{3 - (2x - 1)}{2x - 1}\)
= \(\frac{3 - 2x + 1}{2x - 1}\)
= \(\frac{4 - 2x}{2x - 1}\)
Source: Myschool Past Questions Archive (Record #32533)