Question
Factorise the expressions: $ a m^2+b m^2+b n^2+a n^2 $
✓
Answer
$ a m^2+b m^2+b n^2+a n^2 $
$ 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)\left(m^2+n^2\right) $
$ 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)\left(m^2+n^2\right) $
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