Lösung 2.1:5b
Aus Online Mathematik Brückenkurs 1
We can factorize the denominators as
and then we see that the terms' lowest common denominator is \displaystyle y(y-2)(y+2) because it is the product that contains the smallest number of factors which contain both \displaystyle y(y-2) and \displaystyle (y-2)(y+2).
Now, we rewrite the fractions so that they have same denominators and start simplifying
The numerator can be rewritten as \displaystyle -y+2=-(y-2) and we can eliminate the common factor \displaystyle y-2,