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Problem 1

As a single rational expression, simplified as much as possible. $$ \frac{x-4}{x+1} \cdot \frac{2 x+1}{x-1} $$

Expert verified

As a single rational expression, simplified as much as possible, we have: \(\frac{x - 4}{x + 1} \cdot \frac{2x + 1}{x - 1} = \frac{2x^2 - 7x - 4}{x^2 - 1}\).

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