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

(m^{2} - n^{2}) (a + b)

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(m^{2} + n^{2}) (a + 2 b)

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(m^{2} + n^{2}) (a + b)

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(m^{2} + n^{2}) (a^{2} + b^{2})

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Solution

The correct option is C $(m^{2} + n^{2}) (a + b)$
$a m^{2} + b m^{2} + b n^{2} + a n^{2}$
$= m^{2} (a + b) + n^{2} (a + b)$
$= (a + b) (m^{2} + n^{2})$

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