Simplify (x+2)/(x²-2x) - x/(x²-4)

[Iclaudius]

Hello friends,

I have this problem I'm having difficulty with,

it reads - simplify the following expression

( ( x + 2 ) / (x^(2) - 2x) ) - ( (x) / (x^(2) - 4) )

it wants me to simplify it into ( 4(x + 1) ) / ( x(x - 2) ( x + 2) )

I can't get it to look like that however i just keep going around in circles with it, any help here would be much appreciated.

 

[yenchin]

Note that the denominator of the first term is x(x-2) and that of the second term is (x-2)(x+2). Then you combine the terms and you are almost done.

 

[Iclaudius]

Thank you kind sir :)