Riješi a^2-1/b^2-2b+1diva+1/b-1+1/b-1

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Algebra

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\frac{\left(a^{2}-1\right)\left(b-1\right)}{\left(b^{2}-2b+1\right)\left(a+1\right)}+\frac{1}{b-1}

Podijelite \frac{a^{2}-1}{b^{2}-2b+1} sa \frac{a+1}{b-1} tako što ćete pomnožiti \frac{a^{2}-1}{b^{2}-2b+1} recipročnom vrijednošću od \frac{a+1}{b-1}.

\frac{\left(a-1\right)\left(b-1\right)\left(a+1\right)}{\left(a+1\right)\left(b-1\right)^{2}}+\frac{1}{b-1}

Faktorirajte izraze koji nisu već faktorirani u \frac{\left(a^{2}-1\right)\left(b-1\right)}{\left(b^{2}-2b+1\right)\left(a+1\right)}.

\frac{a-1}{b-1}+\frac{1}{b-1}

Otkaži \left(b-1\right)\left(a+1\right) u brojiocu i imeniocu.

\frac{a-1+1}{b-1}

Pošto \frac{a-1}{b-1} i \frac{1}{b-1} imaju isti imenilac, saberite ih tako što ćete sabrati njihove brojioce.

\frac{a}{b-1}

Kombinirajte slične izraze u a-1+1.