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Division of a Polynomial by a Polynomial

-2 x 2 - y 2 ...

Question

Simplify $- 2 (x^{2} - y^{2} + x y) - 3 (x^{2} + y^{2} - x y)$

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Solution

Given expression $- 2 (x^{2} - y^{2} + x y) - 3 (x^{2} + y^{2} - x y)$
$= - 2 x^{2} - 3 x^{2} + 2 y^{2} - 3 y^{2} - 2 x y + 3 x y$
$= - 5 x^{2} - y^{2} + x y$

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