Lösung 2.1:5b

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We can factorize the denominators as

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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

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The numerator can be rewritten as \displaystyle -y+2=-(y-2) and we can eliminate the common factor \displaystyle y-2,

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