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Simplify: \(\frac{x^2 – 5x – 14}{x^2 – 9x + 14}\)

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Mathematics WAEC 2019

Simplify: \(\frac{x^2 – 5x – 14}{x^2 – 9x + 14}\) 

  • \(\frac{x - 7}{x + 7}\)
  • \(\frac{x + 7}{x - 7}\)
  • \(\frac{x - 2}{x + 4}\)
  • \(\frac{x + 2}{x - 2}\) checkmark

The correct answer is: D

Explanation

\(\frac{x^2 - 5x - 14}{x^2 - 9x + 14}\)

\(\frac{(x - 7)(x + 2)}{(x - 7)(x - 2)}\)

= \(\frac{x + 2}{x - 2}\) 

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