Factorise:
$25 a^{2} - 9 b^{2}$

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Solution

$25 a^{2} - 9 b^{2} = (5 a)^{2} - (3 b)^{2}$

$= (5 a - 3 b) (5 a + 3 b)$

Hence factorised

Formula:
$x^{2} - y^{2} = (x - y) (x + y)$

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