Factorize the following:
$2 m^{2} - 10 m n - 2 m + 10 n$

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Solution

We need to factorise $2 m^{2} - 10 m n - 2 m + 10 n$
It can be written as $2 m^{2} - 10 m n - 2 m + 10 n = 2 m (m - 5 n) - 2 (m - 5 n)$
$= (m - 5 n) (2 m - 2)$
$= 2 (m - 5 n) (m - 1)$

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