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

Mathematics
JAMB 1979

Simplify \(\frac{1 - x^2}{x - x^2}\), where x \(\neq\) 0
  • A. \(\frac{1}{x}\)
  • B. \(\frac{1 - x}{x}\)
  • C. \(\frac{1 + x}{x}\)
  • D. \(\frac{1}{x - 1}\)
  • E. \(\frac{-x - 1}{1}\)
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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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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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