Express \(\frac{1}{x + 1}\) – \(\frac{1}{x – 2}\) as a single algebraic fraction
-
\(\frac{-3}{(x + 1)(2 - x)}\)
- \(\frac{3}{(x + 1)(2 - x)}\)
- \(\frac{-1}{(x + 1)}\)
- \(\frac{1}{(x + 1)(x - 2)}\)
The correct answer is: A
Explanation
\(\frac{1}{x + 1}\) - \(\frac{1}{x - 2}\) = \(\frac{x - 2 - x - 1}{(x + 1)(x - 2)}\)= \(\frac{-3}{(x + 1)(2 - x)}\)