Solve : $a b (x^{2} + y^{2}) - x y (a^{2} + b^{2})$

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Solution

$\begin{matrix} a b (x^{2} + y^{2}) - x y (a^{2} + b^{2}) a b x^{2} + a b y^{2} - x y a^{2} - x y b^{2} a b x^{2} - x y a^{2} + a b y^{2} - x y b^{2} a x (b x - y a) + b y (a y - x b) (a y - b x) (a x - b y) \end{matrix}$

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