Factorizing the group method
$5 m^{2} n - 10 m n^{2} + 12 m - 24 n$

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Solution

Consider the given equation,

$\Rightarrow 5 m^{2} n - 10 m n^{2} + 12 m - 24 n$

$\Rightarrow 5 m^{2} n + 12 m - 10 m n^{2} - 24 n$

$\Rightarrow m (5 m n + 12) - 5 n (m n + 12)$

$\Rightarrow (5 m n + 12) (m - 5 n)$

Hence, this is the answer.

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