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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})
  • 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})