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Here is the problem: x to the power 2y minus xy squared.

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Factor a two-variable polynomial.

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Write the polynomial in standard form.

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Factor out the greatest common factor. Every term is divisible by xy.

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Factor the homogeneous part. The remaining factor is homogeneous of degree 1, so set y equals 1, factor the one-variable polynomial x minus 1, then restore y so every term has degree 1.

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Write the factorization.

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So the answer is xy(x minus y).

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x to the power 2y minus xy squared equals xy(x minus y).

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Expanding xy(x minus y) gives back x to the power 2y minus xy squared.