Ovrednoti
\frac{2}{x-9}
Razširi
\frac{2}{x-9}
Graf
Delež
Kopirano v odložišče
\frac{x-1}{9-x}+\frac{2x^{2}-16x+82}{\left(x-9\right)\left(x+1\right)}-\frac{x-9}{x+1}
Faktorizirajte x^{2}-8x-9.
\frac{\left(x-1\right)\left(-1\right)\left(x+1\right)}{\left(x-9\right)\left(x+1\right)}+\frac{2x^{2}-16x+82}{\left(x-9\right)\left(x+1\right)}-\frac{x-9}{x+1}
Če želite prišteti ali odšteti izraze, jih razširite na skupne imenovalce. Najmanjši skupni mnogokratnik 9-x in \left(x-9\right)\left(x+1\right) je \left(x-9\right)\left(x+1\right). Pomnožite \frac{x-1}{9-x} s/z \frac{-\left(x+1\right)}{-\left(x+1\right)}.
\frac{\left(x-1\right)\left(-1\right)\left(x+1\right)+2x^{2}-16x+82}{\left(x-9\right)\left(x+1\right)}-\frac{x-9}{x+1}
\frac{\left(x-1\right)\left(-1\right)\left(x+1\right)}{\left(x-9\right)\left(x+1\right)} in \frac{2x^{2}-16x+82}{\left(x-9\right)\left(x+1\right)} imata isti imenovalec, zato ju seštejte tako, da seštejete njuna števca.
\frac{-x^{2}-x+x+1+2x^{2}-16x+82}{\left(x-9\right)\left(x+1\right)}-\frac{x-9}{x+1}
Izvedi množenje v \left(x-1\right)\left(-1\right)\left(x+1\right)+2x^{2}-16x+82.
\frac{x^{2}-16x+83}{\left(x-9\right)\left(x+1\right)}-\frac{x-9}{x+1}
Združite podobne člene v -x^{2}-x+x+1+2x^{2}-16x+82.
\frac{x^{2}-16x+83}{\left(x-9\right)\left(x+1\right)}-\frac{\left(x-9\right)\left(x-9\right)}{\left(x-9\right)\left(x+1\right)}
Če želite prišteti ali odšteti izraze, jih razširite na skupne imenovalce. Najmanjši skupni mnogokratnik \left(x-9\right)\left(x+1\right) in x+1 je \left(x-9\right)\left(x+1\right). Pomnožite \frac{x-9}{x+1} s/z \frac{x-9}{x-9}.
\frac{x^{2}-16x+83-\left(x-9\right)\left(x-9\right)}{\left(x-9\right)\left(x+1\right)}
Ker \frac{x^{2}-16x+83}{\left(x-9\right)\left(x+1\right)} in \frac{\left(x-9\right)\left(x-9\right)}{\left(x-9\right)\left(x+1\right)} imata isti imenovalec, jih odštejte tako, da odštejete njihove števce.
\frac{x^{2}-16x+83-x^{2}+9x+9x-81}{\left(x-9\right)\left(x+1\right)}
Izvedi množenje v x^{2}-16x+83-\left(x-9\right)\left(x-9\right).
\frac{2x+2}{\left(x-9\right)\left(x+1\right)}
Združite podobne člene v x^{2}-16x+83-x^{2}+9x+9x-81.
\frac{2\left(x+1\right)}{\left(x-9\right)\left(x+1\right)}
Faktorizirajte izraze, ki še niso faktorizirani v \frac{2x+2}{\left(x-9\right)\left(x+1\right)}.
\frac{2}{x-9}
Okrajšaj x+1 v števcu in imenovalcu.
\frac{x-1}{9-x}+\frac{2x^{2}-16x+82}{\left(x-9\right)\left(x+1\right)}-\frac{x-9}{x+1}
Faktorizirajte x^{2}-8x-9.
\frac{\left(x-1\right)\left(-1\right)\left(x+1\right)}{\left(x-9\right)\left(x+1\right)}+\frac{2x^{2}-16x+82}{\left(x-9\right)\left(x+1\right)}-\frac{x-9}{x+1}
Če želite prišteti ali odšteti izraze, jih razširite na skupne imenovalce. Najmanjši skupni mnogokratnik 9-x in \left(x-9\right)\left(x+1\right) je \left(x-9\right)\left(x+1\right). Pomnožite \frac{x-1}{9-x} s/z \frac{-\left(x+1\right)}{-\left(x+1\right)}.
\frac{\left(x-1\right)\left(-1\right)\left(x+1\right)+2x^{2}-16x+82}{\left(x-9\right)\left(x+1\right)}-\frac{x-9}{x+1}
\frac{\left(x-1\right)\left(-1\right)\left(x+1\right)}{\left(x-9\right)\left(x+1\right)} in \frac{2x^{2}-16x+82}{\left(x-9\right)\left(x+1\right)} imata isti imenovalec, zato ju seštejte tako, da seštejete njuna števca.
\frac{-x^{2}-x+x+1+2x^{2}-16x+82}{\left(x-9\right)\left(x+1\right)}-\frac{x-9}{x+1}
Izvedi množenje v \left(x-1\right)\left(-1\right)\left(x+1\right)+2x^{2}-16x+82.
\frac{x^{2}-16x+83}{\left(x-9\right)\left(x+1\right)}-\frac{x-9}{x+1}
Združite podobne člene v -x^{2}-x+x+1+2x^{2}-16x+82.
\frac{x^{2}-16x+83}{\left(x-9\right)\left(x+1\right)}-\frac{\left(x-9\right)\left(x-9\right)}{\left(x-9\right)\left(x+1\right)}
Če želite prišteti ali odšteti izraze, jih razširite na skupne imenovalce. Najmanjši skupni mnogokratnik \left(x-9\right)\left(x+1\right) in x+1 je \left(x-9\right)\left(x+1\right). Pomnožite \frac{x-9}{x+1} s/z \frac{x-9}{x-9}.
\frac{x^{2}-16x+83-\left(x-9\right)\left(x-9\right)}{\left(x-9\right)\left(x+1\right)}
Ker \frac{x^{2}-16x+83}{\left(x-9\right)\left(x+1\right)} in \frac{\left(x-9\right)\left(x-9\right)}{\left(x-9\right)\left(x+1\right)} imata isti imenovalec, jih odštejte tako, da odštejete njihove števce.
\frac{x^{2}-16x+83-x^{2}+9x+9x-81}{\left(x-9\right)\left(x+1\right)}
Izvedi množenje v x^{2}-16x+83-\left(x-9\right)\left(x-9\right).
\frac{2x+2}{\left(x-9\right)\left(x+1\right)}
Združite podobne člene v x^{2}-16x+83-x^{2}+9x+9x-81.
\frac{2\left(x+1\right)}{\left(x-9\right)\left(x+1\right)}
Faktorizirajte izraze, ki še niso faktorizirani v \frac{2x+2}{\left(x-9\right)\left(x+1\right)}.
\frac{2}{x-9}
Okrajšaj x+1 v števcu in imenovalcu.
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