Simplify: \(\frac{5}{x - y} - \frac{4}{y - x}\)
MATHEMATICS
WAEC 1996
Simplify: \(\frac{5}{x - y} - \frac{4}{y - x}\)
- A. 9/x - y
- B. 9/y - x
- C. 1/x - y
- D. 1/y - x
Correct Answer: A. 9/x - y
Explanation
\(\frac{5}{x - y} - \frac{4}{y - x}\)
= \(\frac{5(y - x) - 4(x - y)}{(x - y)(y - x)}\)
= \(\frac{5y - 5x - 4x + 4y}{(x - y)(y - x)}\)
= \(\frac{9y - 9x}{(x - y)(y - x)}\)
= \(\frac{9(y - x)}{(x - y)(y - x)}\)
= \(\frac{9}{x - y}\)
Post an Explanation Or Report an Error
If you see any wrong question or answer, please leave a comment below and we'll take a look. If you doubt why the selected answer is correct or need additional more details? Please drop a comment or Contact us directly. Your email address will not be published. Required fields are marked *