Factorise the following expression-
$25 x^{2} + 9 y^{2} - 30 x y$

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Solution

$25 x^{2} - 30 x y + 9 y^{2}$
$= 25 x^{2} - 15 x y - 15 x y + 9 y^{2}$
$= 5 x (5 x - 3 y) - 3 y (5 x - 3 y)$
$= (5 x - 3 y) (5 x - 3 y)$

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