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Simplify \(\frac{x^2 - 1}{x^3 + 2x^2 - x - 2}\)

Simplify \(\frac{x^2 - 1}{x^3 + 2x^2 - x - 2}\)
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  • A \(\frac{1}{x + 2}\)
  • B \(\frac{x - 1}{x + 1}\)
  • C \(\frac{x - 1}{x + 2}\)
  • D \(\frac{1}{x - 2}\)
Correct Answer: Option A
Explanation:
\(\frac{x^2 - 1}{(x - 1)(x + 2)(x + 1)}\) = \(\frac{(x -
1)(x + 1)}{(x - 1)(x + 2)(x + 1)}\)
= \(\frac{1}{x + 2}\)

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