Question

add, simplify if possible
4w/w^2-9 + w/w-3

Answer 1

\[\Large \frac{4w}{w^2-9} + \frac{w}{w-3}\]



\[\Large \frac{4w}{(w-3)(w+3)} + \frac{w}{w-3}\]



\[\Large \frac{4w}{(w-3)(w+3)} + \frac{w(w+3)}{(w-3)(w+3)}\]



\[\Large \frac{4w}{(w-3)(w+3)} + \frac{w^2+3w}{(w-3)(w+3)}\]



\[\Large \frac{4w+w^2+3w}{(w-3)(w+3)}\]



\[\Large \frac{w^2+7w}{(w-3)(w+3)}\]



\[\Large \frac{w^2+7w}{w^2-9}\]



So \[\Large \frac{4w}{w^2-9} + \frac{w}{w-3}=\frac{w^2+7w}{w^2-9}\]