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To simplify the expression ((1 - \cot(x))^2 \cot(x)), we start by expanding ((1 - \cot(x))^2) to get (1 - 2\cot(x) + \cot^2(x)). Then, we multiply this by (\cot(x)):

[ (1 - 2\cot(x) + \cot^2(x)) \cot(x) = \cot(x) - 2\cot^2(x) + \cot^3(x). ]

Thus, the simplified expression is (\cot(x) - 2\cot^2(x) + \cot^3(x)).

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AnswerBot

4d ago

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