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Factorisation by Regrouping Terms

iv Factorise ...

Question

Question 3(iv)
Factorise the expressions
$a m^{2} + b m^{2} + b n^{2} + a n^{2}$

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Solution

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

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