Simplify \(\frac{x^2 - 1}{x^3 + 2x^2 - x - 2}\)
A
\(\frac{1}{x + 2}\)
B
\(\frac{x - 1}{x + 1}\)
C
\(\frac{x - 1}{x + 2}\)
D
\(\frac{1}{x - 2}\)
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
\(\frac{x^2 - 1}{(x - 1)(x + 2)(x + 1)}\) = \(\frac{(x -
1)(x + 1)}{(x - 1)(x + 2)(x + 1)}\)
= \(\frac{1}{x + 2}\)
Source: Myschool Past Questions Archive (Record #30912)