Ovrednoti
\frac{x^{3}+2x^{2}-4x+6}{x\left(x+2\right)\left(x+3\right)}
Razširi
\frac{x^{3}+2x^{2}-4x+6}{x\left(x+2\right)\left(x+3\right)}
Graf
Delež
Kopirano v odložišče
\frac{\left(2x-3\right)\left(x+3\right)}{\left(x+2\right)\left(x+3\right)}-\frac{x\left(x+2\right)}{\left(x+2\right)\left(x+3\right)}+\frac{1}{x}
Če želite prišteti ali odšteti izraze, jih razširite na skupne imenovalce. Najmanjši skupni mnogokratnik x+2 in x+3 je \left(x+2\right)\left(x+3\right). Pomnožite \frac{2x-3}{x+2} s/z \frac{x+3}{x+3}. Pomnožite \frac{x}{x+3} s/z \frac{x+2}{x+2}.
\frac{\left(2x-3\right)\left(x+3\right)-x\left(x+2\right)}{\left(x+2\right)\left(x+3\right)}+\frac{1}{x}
\frac{\left(2x-3\right)\left(x+3\right)}{\left(x+2\right)\left(x+3\right)} in \frac{x\left(x+2\right)}{\left(x+2\right)\left(x+3\right)} imata isti imenovalec, zato ju odštejte tako, da odštejete njuna imenovalca.
\frac{2x^{2}+6x-3x-9-x^{2}-2x}{\left(x+2\right)\left(x+3\right)}+\frac{1}{x}
Izvedi množenje v \left(2x-3\right)\left(x+3\right)-x\left(x+2\right).
\frac{x^{2}+x-9}{\left(x+2\right)\left(x+3\right)}+\frac{1}{x}
Združite podobne člene v 2x^{2}+6x-3x-9-x^{2}-2x.
\frac{\left(x^{2}+x-9\right)x}{x\left(x+2\right)\left(x+3\right)}+\frac{\left(x+2\right)\left(x+3\right)}{x\left(x+2\right)\left(x+3\right)}
Če želite prišteti ali odšteti izraze, jih razširite na skupne imenovalce. Najmanjši skupni mnogokratnik \left(x+2\right)\left(x+3\right) in x je x\left(x+2\right)\left(x+3\right). Pomnožite \frac{x^{2}+x-9}{\left(x+2\right)\left(x+3\right)} s/z \frac{x}{x}. Pomnožite \frac{1}{x} s/z \frac{\left(x+2\right)\left(x+3\right)}{\left(x+2\right)\left(x+3\right)}.
\frac{\left(x^{2}+x-9\right)x+\left(x+2\right)\left(x+3\right)}{x\left(x+2\right)\left(x+3\right)}
\frac{\left(x^{2}+x-9\right)x}{x\left(x+2\right)\left(x+3\right)} in \frac{\left(x+2\right)\left(x+3\right)}{x\left(x+2\right)\left(x+3\right)} imata isti imenovalec, zato ju seštejte tako, da seštejete njuna števca.
\frac{x^{3}+x^{2}-9x+x^{2}+3x+2x+6}{x\left(x+2\right)\left(x+3\right)}
Izvedi množenje v \left(x^{2}+x-9\right)x+\left(x+2\right)\left(x+3\right).
\frac{x^{3}+2x^{2}-4x+6}{x\left(x+2\right)\left(x+3\right)}
Združite podobne člene v x^{3}+x^{2}-9x+x^{2}+3x+2x+6.
\frac{x^{3}+2x^{2}-4x+6}{x^{3}+5x^{2}+6x}
Razčlenite x\left(x+2\right)\left(x+3\right).
\frac{\left(2x-3\right)\left(x+3\right)}{\left(x+2\right)\left(x+3\right)}-\frac{x\left(x+2\right)}{\left(x+2\right)\left(x+3\right)}+\frac{1}{x}
Če želite prišteti ali odšteti izraze, jih razširite na skupne imenovalce. Najmanjši skupni mnogokratnik x+2 in x+3 je \left(x+2\right)\left(x+3\right). Pomnožite \frac{2x-3}{x+2} s/z \frac{x+3}{x+3}. Pomnožite \frac{x}{x+3} s/z \frac{x+2}{x+2}.
\frac{\left(2x-3\right)\left(x+3\right)-x\left(x+2\right)}{\left(x+2\right)\left(x+3\right)}+\frac{1}{x}
\frac{\left(2x-3\right)\left(x+3\right)}{\left(x+2\right)\left(x+3\right)} in \frac{x\left(x+2\right)}{\left(x+2\right)\left(x+3\right)} imata isti imenovalec, zato ju odštejte tako, da odštejete njuna imenovalca.
\frac{2x^{2}+6x-3x-9-x^{2}-2x}{\left(x+2\right)\left(x+3\right)}+\frac{1}{x}
Izvedi množenje v \left(2x-3\right)\left(x+3\right)-x\left(x+2\right).
\frac{x^{2}+x-9}{\left(x+2\right)\left(x+3\right)}+\frac{1}{x}
Združite podobne člene v 2x^{2}+6x-3x-9-x^{2}-2x.
\frac{\left(x^{2}+x-9\right)x}{x\left(x+2\right)\left(x+3\right)}+\frac{\left(x+2\right)\left(x+3\right)}{x\left(x+2\right)\left(x+3\right)}
Če želite prišteti ali odšteti izraze, jih razširite na skupne imenovalce. Najmanjši skupni mnogokratnik \left(x+2\right)\left(x+3\right) in x je x\left(x+2\right)\left(x+3\right). Pomnožite \frac{x^{2}+x-9}{\left(x+2\right)\left(x+3\right)} s/z \frac{x}{x}. Pomnožite \frac{1}{x} s/z \frac{\left(x+2\right)\left(x+3\right)}{\left(x+2\right)\left(x+3\right)}.
\frac{\left(x^{2}+x-9\right)x+\left(x+2\right)\left(x+3\right)}{x\left(x+2\right)\left(x+3\right)}
\frac{\left(x^{2}+x-9\right)x}{x\left(x+2\right)\left(x+3\right)} in \frac{\left(x+2\right)\left(x+3\right)}{x\left(x+2\right)\left(x+3\right)} imata isti imenovalec, zato ju seštejte tako, da seštejete njuna števca.
\frac{x^{3}+x^{2}-9x+x^{2}+3x+2x+6}{x\left(x+2\right)\left(x+3\right)}
Izvedi množenje v \left(x^{2}+x-9\right)x+\left(x+2\right)\left(x+3\right).
\frac{x^{3}+2x^{2}-4x+6}{x\left(x+2\right)\left(x+3\right)}
Združite podobne člene v x^{3}+x^{2}-9x+x^{2}+3x+2x+6.
\frac{x^{3}+2x^{2}-4x+6}{x^{3}+5x^{2}+6x}
Razčlenite x\left(x+2\right)\left(x+3\right).
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