Factorise:
$6 x y (a^{2} + b^{2}) + 8 y z (a^{2} + b^{2}) - 10 x z (a^{2} + b^{2})$

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Solution

$6 x y (a^{2} + b^{2}) + 8 y z (a^{2} + b^{2}) - 10 x z v$

$= (a^{2} + b^{2}) (6 x y + 8 y x - 10 x z)$

$= 2 (a^{2} + b^{2}) (3 x y + 4 y z - 5 x z)$

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