What will you do to simplify x^2/x-1 - x^2/x+1 - 1/x-1 +1/x+1 , what will be the first step? Finding LCD or is there anything else that could be done? Thanks million for any input.

The first thing to do is to collect together terms with the same denominator:

x^2/(x-1)-1/(x-1) - x^2/(x+1)+1/(x+1).

Next, combine the numerators: (x^2-1)/(x-1) - (x^2-1)/(x+1).

The denominator divides into the numerator because x^2-1=(x-1)(x+1);

x+1-(x-1)=x+1-x+1=2, so the expression simplifies to just 2.

@Rod Thank you so much, this is a great answer :) xx

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