Lösung 2.1:5c

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The fraction can be further simplified if it is possible to factorize and eliminate common factors from the numerator and denominator. Both numerator and denominator are already factorized to a certain extent, but we can go further with the numerator and break it up into linear factors by using the conjugate rule

Vorlage:Displayed math

The whole expression is therefore equal to

Vorlage:Displayed math

Note: One can of course expand the expression to get \displaystyle 3x^{2}-9x+6 as the answer.