JAMB - Mathematics (1983 - No. 13)
Simplify \(\frac{x - 7}{x^2 - 9}\) x \(\frac{x^2 - 3x}{x^2 - 49}\)
\(\frac{x}{(x - 3)(x - 7)}\)
\(\frac{x}{(x + 3)(x - 7)}\)
\(\frac{x}{(x + 3)(x + 7)}\)
\(\frac{x}{(x - 3)(x + 7)}\)
Explanation
\(\frac{x - 7}{x^2 - 9}\) x \(\frac{x^2 - 3x}{x^2 - 49}\)
= \(\frac{x - 7}{(x - 3)(x + 3)}\) x \(\frac{x(x - 3)}{(x - 7)(x + 7)}\)
= \(\frac{x}{(x + 3)(x + 7)}\)
= \(\frac{x - 7}{(x - 3)(x + 3)}\) x \(\frac{x(x - 3)}{(x - 7)(x + 7)}\)
= \(\frac{x}{(x + 3)(x + 7)}\)
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