Simplify \(\frac{4}{x+1}-\frac{3}{x-1}\)

MATHEMATICS
WAEC 1999

Simplify \(\frac{4}{x+1}-\frac{3}{x-1}\)

  • A. \(\frac{x+7}{x^2 - 1}\)
  • B. \(\frac{x-7}{x^2 + 1}\)
  • C. \(\frac{x-7}{x^2 - 1}\)
  • D. \(\frac{x-11}{x^2 - 1}\)

Correct Answer: C. \(\frac{x-7}{x^2 - 1}\)

Explanation

\(\frac{4}{x+1}-\frac{3}{x-1} \\

=\frac{4x - 4 - 3x - 3}{(x+1)(x-1)}=\frac{x-7}{x^2 - 1}\)



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