Answer
$$2x^2y - 2xy- 3x^2+2y^2. $$
Work Step by Step
By combining like terms, we have:
$$4x^2y - 2xy- y^2 - 3x^2 - 2x^2y + 3y^2\\
=2x^2y - 2xy- 3x^2+2y^2. $$
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