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Simplify \(\frac{1 - x^2}{x - x^2}\), where x \(\neq\) 0

Simplify \(\frac{1 - x^2}{x - x^2}\), where x \(\neq\) 0
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  • A \(\frac{1}{x}\)
  • B \(\frac{1 - x}{x}\)
  • C \(\frac{1 + x}{x}\)
  • D \(\frac{1}{x - 1}\)
  • E \(\frac{-x - 1}{1}\)
Correct Answer: Option C
Explanation:
\(\frac{1 - x^2}{x - x^2}\), where x = \(\neq\) 0
\(\frac{1^2 - x^2}{x - x^2}\)
= \(\frac{(1 + x)(1 - x)}{x(1 - x)}\)
= \(\frac{1 + x}{x}\)

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