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Express as a single fraction: \(\frac{x}{x-2}-\frac{x+2}{x+3}\)

Mathematics
WAEC 1998

Express as a single fraction: \(\frac{x}{x-2}-\frac{x+2}{x+3}\)

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

\(\frac{x}{x-2}-\frac{x+2}{x+3}\)

\(\frac{[x][x+3] - ([x+2][x-2])}{[x-2][x+3]}\)

= \(\frac{x^2 + 3x - (x^2 - 4)}{[x-2][x+3]}\)

=  \(\frac{3x + 4}{[x-2][x+3]}\)


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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC offline past questions - with all answers and explanations in one app - Download for free
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995