Correct Answer: Option A

Explanation

\(\frac{5}{x - y} - \frac{4}{y - x}\)

= \(\frac{5(y - x) - 4(x - y)}{(x - y)(y - x)}\)

= \(\frac{5y - 5x - 4x + 4y}{(x - y)(y - x)}\)

= \(\frac{9y - 9x}{(x - y)(y - x)}\)

= \(\frac{9(y - x)}{(x - y)(y - x)}\)

= \(\frac{9}{x - y}\)

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