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Let $n$ and $m$ be positive integers with $n \gt m$. Can you show that the constant term of ${(1+x)^n}\left(\frac{1}{x} - 1\right)^m$ is not equal to zero?

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    Please either make @PatrickDaSilva rewrite his comment as an answer or do it yourself and accept it to close the question.2013-02-10

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