Simplify: \(\frac{5}{x – y} – \frac{4}{y – x}\)
-
9/x - y
- 9/y - x
- 1/x - y
- 1/y - x
- y - 9x/x - y
The correct answer is: A
Explanation
\(\frac{5}{x - y} - \frac{4}{y - x}\)
= \(\frac{5(y - x) - 4(x - y)}{(x - y)(y - x)}\)
= \(\frac{5y - 5x - 4x + 4y}{(x - y)(y - x)}\)
= \(\frac{9y - 9x}{(x - y)(y - x)}\)
= \(\frac{9(y - x)}{(x - y)(y - x)}\)
= \(\frac{9}{x - y}\)