Lösung 2.1:6a

Aus Online Mathematik Brückenkurs 1

Before we try dealing with the whole expression, we focus on simplifying the two factors individually by rewriting them using a common denominator:

x−y+x2y−x=y−xx−yy−x+x2y−xy−x=−x−y=y−x−x−y2+x2y−x=y−x−x−y2+x2=y−x−x2−2xy+y2+x2=y−x−x2+2xy−y2+x2=y−x2xy−y2=y−xy2x−y

y2x−y−1=y2x−y−2x−y2x−y=2x−yy−2x−y=2x−yy−2x+y=2x−y2y−2x=2x−y2y−x

Then, we multiply the factors together and simplify by elimination:

x−y+x2y−xy2x−y−1=y−xy2x−y2x−y2y−x=2y