Ovrednoti
\frac{x^{2}+5}{\left(x+5\right)\left(x^{2}-1\right)}
Razširi
\frac{x^{2}+5}{\left(x+5\right)\left(x^{2}-1\right)}
Graf
Delež
Kopirano v odložišče
\frac{x+2}{\left(x-1\right)\left(x+5\right)}-\frac{3}{\left(x+1\right)\left(x+5\right)}
Faktorizirajte x^{2}+4x-5. Faktorizirajte x^{2}+6x+5.
\frac{\left(x+2\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)\left(x+5\right)}-\frac{3\left(x-1\right)}{\left(x-1\right)\left(x+1\right)\left(x+5\right)}
Če želite prišteti ali odšteti izraze, jih razširite na skupne imenovalce. Najmanjši skupni mnogokratnik \left(x-1\right)\left(x+5\right) in \left(x+1\right)\left(x+5\right) je \left(x-1\right)\left(x+1\right)\left(x+5\right). Pomnožite \frac{x+2}{\left(x-1\right)\left(x+5\right)} s/z \frac{x+1}{x+1}. Pomnožite \frac{3}{\left(x+1\right)\left(x+5\right)} s/z \frac{x-1}{x-1}.
\frac{\left(x+2\right)\left(x+1\right)-3\left(x-1\right)}{\left(x-1\right)\left(x+1\right)\left(x+5\right)}
Ker \frac{\left(x+2\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)\left(x+5\right)} in \frac{3\left(x-1\right)}{\left(x-1\right)\left(x+1\right)\left(x+5\right)} imata isti imenovalec, jih odštejte tako, da odštejete njihove števce.
\frac{x^{2}+x+2x+2-3x+3}{\left(x-1\right)\left(x+1\right)\left(x+5\right)}
Izvedi množenje v \left(x+2\right)\left(x+1\right)-3\left(x-1\right).
\frac{x^{2}+5}{\left(x-1\right)\left(x+1\right)\left(x+5\right)}
Združite podobne člene v x^{2}+x+2x+2-3x+3.
\frac{x^{2}+5}{x^{3}+5x^{2}-x-5}
Razčlenite \left(x-1\right)\left(x+1\right)\left(x+5\right).
\frac{x+2}{\left(x-1\right)\left(x+5\right)}-\frac{3}{\left(x+1\right)\left(x+5\right)}
Faktorizirajte x^{2}+4x-5. Faktorizirajte x^{2}+6x+5.
\frac{\left(x+2\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)\left(x+5\right)}-\frac{3\left(x-1\right)}{\left(x-1\right)\left(x+1\right)\left(x+5\right)}
Če želite prišteti ali odšteti izraze, jih razširite na skupne imenovalce. Najmanjši skupni mnogokratnik \left(x-1\right)\left(x+5\right) in \left(x+1\right)\left(x+5\right) je \left(x-1\right)\left(x+1\right)\left(x+5\right). Pomnožite \frac{x+2}{\left(x-1\right)\left(x+5\right)} s/z \frac{x+1}{x+1}. Pomnožite \frac{3}{\left(x+1\right)\left(x+5\right)} s/z \frac{x-1}{x-1}.
\frac{\left(x+2\right)\left(x+1\right)-3\left(x-1\right)}{\left(x-1\right)\left(x+1\right)\left(x+5\right)}
Ker \frac{\left(x+2\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)\left(x+5\right)} in \frac{3\left(x-1\right)}{\left(x-1\right)\left(x+1\right)\left(x+5\right)} imata isti imenovalec, jih odštejte tako, da odštejete njihove števce.
\frac{x^{2}+x+2x+2-3x+3}{\left(x-1\right)\left(x+1\right)\left(x+5\right)}
Izvedi množenje v \left(x+2\right)\left(x+1\right)-3\left(x-1\right).
\frac{x^{2}+5}{\left(x-1\right)\left(x+1\right)\left(x+5\right)}
Združite podobne člene v x^{2}+x+2x+2-3x+3.
\frac{x^{2}+5}{x^{3}+5x^{2}-x-5}
Razčlenite \left(x-1\right)\left(x+1\right)\left(x+5\right).
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