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Simplify frac x 2 - 1 x 3 2x 2 - x - 2 - JAMB Mathematics 1995 Question

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
\(\frac{1}{x - 2}\)
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Correct Option: A

(\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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