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1. $\frac{x^{2} - x - 30}{x^{2} - 36}$

Answer: Option A

Explanation:

\frac{x^{2} - x - 30}{x^{2} - 36} = \frac{x^{2} - 6 x + 5 x - 30}{{(x)}^{2} - {(6)}^{2}} = \frac{x (x - 6) + 5 (x - 6)}{(x + 6) (x - 6)} = \frac{(x - 6) (x + 5)}{(x + 6) (x - 6)} = \frac{x + 5}{x - 6}

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