Factorise the following expression-
$25 m^{2} - 40 m n + 16 n^{2}$

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Solution

$25 m^{2} - 40 m n + 16 n^{2}$
$= 25 m^{2} - 20 m n - 20 m n + 16 n^{2}$
$= 5 m (5 m - 4 n) - 4 n (5 m - 4 n)$
$= (5 m - 4 n) (5 m - 4 n)$

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