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Answer:
[tex] \frac{ \frac{x + 2}{x - 1} }{ \frac{x - 3}{x - 1} } \\ = \frac{x + 2}{x - 1} \times \frac{x - 1}{x - 3} \\ = \frac{x + 2}{x - 3} \: when \: x \ne3[/tex]