Factorise by taking out the common factors :
$x y (3 x^{2} - 2 y^{2}) - y z (2 y^{2} - 3 x^{2}) + z x (15 x^{2} - 10 y^{2})$

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Solution

$x y (3 x^{2} - 2 y^{2}) - y z (2 y^{2} - 3 x^{2}) + z x (15 x^{2} - 10 y^{2})$

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

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

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