Hello friends,I have this problem I'm having difficulty

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The discussion centers on simplifying the expression ( ( x + 2 ) / (x^(2) - 2x) ) - ( (x) / (x^(2) - 4) ). The correct simplified form is ( 4(x + 1) ) / ( x(x - 2)( x + 2) ). Key steps include recognizing that the denominator of the first term is x(x - 2) and the second term's denominator is (x - 2)(x + 2). Combining these fractions leads to the final result.

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Iclaudius
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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.
 
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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.
 


Thank you kind sir :)
 

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