Question

How do you simplify `\frac{1}{(x+2)}+\frac{-2}{(x-4)}`?

Answer 1

`=(-x-8)/((x+2)(x-4))`

Explanation:

`1/(x+2)+(-2)/(x-4)`
`" "`
`=((x-4)-2 (x+2))/((x+2)(x-4))`
`" "`
`=(x-4-2x-4)/((x+2)(x-4))`
`" "`
`=(-x-8)/((x+2)(x-4))`