Simplify \(\frac{3}{2x - 1}\) + \(\frac{2 - x}{x - 2}\)
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Correct Answer: Option C
Explanation:
\(\frac{3}{2x - 1}\) + \(\frac{2 - x}{x - 2}\)
= \(\frac{3}{2x - 1}\) - \(\frac{x - 2}{x - 2}\)
= \(\frac{3}{2x - 1}\) - 1
= \(\frac{3 - (2x - 1)}{2x - 1}\)
= \(\frac{3 - 2x + 1}{2x - 1}\)
= \(\frac{4 - 2x}{2x - 1}\)
\(\frac{3}{2x - 1}\) + \(\frac{2 - x}{x - 2}\)
= \(\frac{3}{2x - 1}\) - \(\frac{x - 2}{x - 2}\)
= \(\frac{3}{2x - 1}\) - 1
= \(\frac{3 - (2x - 1)}{2x - 1}\)
= \(\frac{3 - 2x + 1}{2x - 1}\)
= \(\frac{4 - 2x}{2x - 1}\)