[tex]\displaystyle\bf\\\frac{3m}{an+am} +\frac{2n}{bn+bm} =\frac{3m}{a\cdot(n+m)} +\frac{2n}{b\cdot(n+m)} =\frac{3mb+2na}{ab(n+m)}[/tex]
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[tex]\displaystyle\bf\\\frac{3m}{an+am} +\frac{2n}{bn+bm} =\frac{3m}{a\cdot(n+m)} +\frac{2n}{b\cdot(n+m)} =\frac{3mb+2na}{ab(n+m)}[/tex]