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Bruchterme subtrahieren Übung 4
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d.f. gemeinsamer Nenner: ab * (a – b)
2. Bruchterm auf den gemeinsamen Nenner bringen
a – b – a – b = / * ab * (a – b)
ab – b² a² – ab ab
a * a – b * b – (a – b) (a – b) =
ab * (a – b)
3. Bruchterm vereinfachen
a * a – b * b – (a – b) (a – b) =
ab * (a – b)
a² – b² – (a² – 2ab + b²) =
ab * (a – b)
a² – b² – a² + 2ab – b² =
ab * (a – b)
2ab – 2b² =
ab * (a – b)
2b * (a – b) = Herausheben
ab * (a – b)
2b * (a – b) = Kürzen
ab * (a – b)
2
a
1 – 2 – 1 – 2 =
1*2 – 2² 1² – 1*2 1*2
1 – 2 + 1 =
-2 – 1 2
– 1 + 2 + 1 = 2
2 2
b) mit dem Ergebnis:
2 = 2
1
2 = 2 w.A.