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Simplify \(\frac{x - 7}{x^2 - 9}\) x \(\frac{x^2 - 3x}{x^2 - 49}\)

Mathematics
JAMB 1983

Simplify \(\frac{x - 7}{x^2 - 9}\) x \(\frac{x^2 - 3x}{x^2 - 49}\)
  • A. \(\frac{x}{(x - 3)(x - 7)}\)
  • B. \(\frac{x}{(x + 3)(x - 7)}\)
  • C. \(\frac{x}{(x + 3)(x + 7)}\)
  • D. \(\frac{x}{(x - 3)(x + 7)}\)
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Correct Answer: Option C
Explanation
\(\frac{x - 7}{x^2 - 9}\) x \(\frac{x^2 - 3x}{x^2 - 49}\)

= \(\frac{x - 7}{(x - 3)(x + 3)}\) x \(\frac{x(x - 3)}{(x - 7)(x + 7)}\)

= \(\frac{x}{(x + 3)(x + 7)}\)

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