Factorise the expression
$a m^{2} + b m^{2} + b n^{2} + a n^{2}$

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Solution

$a m^{2} + b m^{2} + b n^{2} + a n^{2}$
$\Rightarrow m^{2} (a + b) + n^{2} (b + a)$
$\Rightarrow m^{2} (a + b) + n^{2} (a + b)$
$\Rightarrow (m^{2} + n^{2}) (a + b)$

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