subtract $2 x^{2} y^{2} - 5 x y + y^{2}$ from $2 y^{2} + 6 x^{2} y^{2} - x y$

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Solution

$2 y^{2} + 6 x^{2} y^{2} - x y - (2 x^{2} y^{2} - 5 x y + y^{2})$

$= 2 y^{2} + 6 x^{2} y^{2} - x y - 2 x^{2} y^{2} + 5 x y - y^{2}$

$= y^{2} + 4 x^{2} y^{2} + 4 x y$

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