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Simplify \(\frac{1}{x-3}-\frac{3(x-1)}{x^2 - 9}\)

Mathematics
WAEC 2000

Simplify \(\frac{1}{x-3}-\frac{3(x-1)}{x^2 - 9}\)

  • A. \(\frac{x-1}{x-3}\)
  • B. \(\frac{-2}{x+3}\)
  • C. \(\frac{x-1}{x+3}\)
  • D. \(\frac{4x}{x^2-9}\)
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Correct Answer: Option B
Explanation

\(\frac{1}{x-3}-\frac{3(x-1)}{x^2 - 9}\)
\(\frac{1}{x-3}-\frac{3(x-1)}{(x-3)(x+3)}\)
\(\frac{x+3-3x+3}{(x-3)(x+3)};\frac{-2x+6}{(x-3)(x+3)}\)
\(\frac{-2(x-3)}{(x-3)(x+3)}=\frac{-2}{x+3}\)


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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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