how to simplify expression 1/x+5 - 1/5 over x ?

[awesome_m]

how do you simplify this expression?
(1)/(x+5) -( 1)/(5) / (x)

i really have no idea what to do, i'm completely lost!

thanks a lot.

 

[Deleted member 4993]

Re: help!im confused!

how do you simplify this expression?
1/x+5 - 1/5 over x

i really have no idea what to do, i'm completely lost!

thanks a lot.

Is your problem:

\(\displaystyle \frac{1}{x+5} \, - \, \frac{\frac{1}{5}}{x}\)

then

\(\displaystyle = \, \frac{1}{x+5} \, - \, \frac{1}{5x}\)

\(\displaystyle = \, \frac{1}{x+5} \cdot \frac{5x}{5x}\, - \, \frac{1}{5x} \cdot \frac{x+5}{x+5}\)

Now continue...