Simplify: \(\frac{x^2 - 5x - 14}{x^2 - 9x + 14}\)
MATHEMATICS
WAEC 2019
Simplify: \(\frac{x^2 - 5x - 14}{x^2 - 9x + 14}\)
- A. \(\frac{x - 7}{x + 7}\)
- B. \(\frac{x + 7}{x - 7}\)
- C. \(\frac{x - 2}{x + 4}\)
- D. \(\frac{x + 2}{x - 2}\)
Correct Answer: D. \(\frac{x + 2}{x - 2}\)
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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