State whether True or False.
Factorization of $a b (x^{2} + y^{2}) - x y (a^{2} + b^{2})$ is $(b x - a y) (a x - b y)$ .

True

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False

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Solution

The correct option is A True
$F a c t o r i z i n g a b (x^{2} + y^{2}) - x y (a^{2} + b^{2}) = a b x^{2} + a b y^{2} - x y b^{2} - x y a^{2} = a x (b x - a y) - b y (b x - a y) = (b x - a y) (a x - b y)$

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