Question

add
5/y-7 + 5/y+7

Answer 1

10y/(y^2 - 49)

Answer 2

\[\Large \frac{5}{y-7} + \frac{5}{y+7}\]



\[\Large \frac{5(y+7)}{(y-7)(y+7)} + \frac{5}{y+7}\]



\[\Large \frac{5y+35}{(y-7)(y+7)} + \frac{5}{y+7}\]



\[\Large \frac{5y+35}{(y-7)(y+7)} + \frac{5(y-7)}{(y-7)(y+7)}\]



\[\Large \frac{5y+35}{(y-7)(y+7)} + \frac{5y-35}{(y-7)(y+7)}\]



\[\Large \frac{5y+35+5y-35}{(y-7)(y+7)}\]



\[\Large \frac{10y}{(y-7)(y+7)}\]



\[\Large \frac{10y}{y^2-49}\]



So \[\Large \frac{5}{y-7} + \frac{5}{y+7}=\frac{10y}{y^2-49}\]