Procijeni
\frac{x^{3}+2x^{2}-4x+6}{x\left(x+2\right)\left(x+3\right)}
Proširi
\frac{x^{3}+2x^{2}-4x+6}{x\left(x+2\right)\left(x+3\right)}
Graf
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\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}
Da biste izvršili zbrajanje ili oduzimanje izraza, rastavite ih kako bi im nazivnici bili isti. Najmanji zajednički množilac brojeva x+2 i x+3 je \left(x+2\right)\left(x+3\right). Pomnožite \frac{2x-3}{x+2} i \frac{x+3}{x+3}. Pomnožite \frac{x}{x+3} i \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}
Pošto \frac{\left(2x-3\right)\left(x+3\right)}{\left(x+2\right)\left(x+3\right)} i \frac{x\left(x+2\right)}{\left(x+2\right)\left(x+3\right)} imaju isti imenilac, oduzmite ih tako što ćete oduzeti njihove brojioce.
\frac{2x^{2}+6x-3x-9-x^{2}-2x}{\left(x+2\right)\left(x+3\right)}+\frac{1}{x}
Izvršite množenja u \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}
Kombinirajte slične izraze u 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)}
Da biste izvršili zbrajanje ili oduzimanje izraza, rastavite ih kako bi im nazivnici bili isti. Najmanji zajednički množilac brojeva \left(x+2\right)\left(x+3\right) i 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)} i \frac{x}{x}. Pomnožite \frac{1}{x} i \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)}
Pošto \frac{\left(x^{2}+x-9\right)x}{x\left(x+2\right)\left(x+3\right)} i \frac{\left(x+2\right)\left(x+3\right)}{x\left(x+2\right)\left(x+3\right)} imaju isti imenilac, saberite ih tako što ćete sabrati njihove brojioce.
\frac{x^{3}+x^{2}-9x+x^{2}+3x+2x+6}{x\left(x+2\right)\left(x+3\right)}
Izvršite množenja u \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)}
Kombinirajte slične izraze u x^{3}+x^{2}-9x+x^{2}+3x+2x+6.
\frac{x^{3}+2x^{2}-4x+6}{x^{3}+5x^{2}+6x}
Proširite 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}
Da biste izvršili zbrajanje ili oduzimanje izraza, rastavite ih kako bi im nazivnici bili isti. Najmanji zajednički množilac brojeva x+2 i x+3 je \left(x+2\right)\left(x+3\right). Pomnožite \frac{2x-3}{x+2} i \frac{x+3}{x+3}. Pomnožite \frac{x}{x+3} i \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}
Pošto \frac{\left(2x-3\right)\left(x+3\right)}{\left(x+2\right)\left(x+3\right)} i \frac{x\left(x+2\right)}{\left(x+2\right)\left(x+3\right)} imaju isti imenilac, oduzmite ih tako što ćete oduzeti njihove brojioce.
\frac{2x^{2}+6x-3x-9-x^{2}-2x}{\left(x+2\right)\left(x+3\right)}+\frac{1}{x}
Izvršite množenja u \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}
Kombinirajte slične izraze u 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)}
Da biste izvršili zbrajanje ili oduzimanje izraza, rastavite ih kako bi im nazivnici bili isti. Najmanji zajednički množilac brojeva \left(x+2\right)\left(x+3\right) i 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)} i \frac{x}{x}. Pomnožite \frac{1}{x} i \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)}
Pošto \frac{\left(x^{2}+x-9\right)x}{x\left(x+2\right)\left(x+3\right)} i \frac{\left(x+2\right)\left(x+3\right)}{x\left(x+2\right)\left(x+3\right)} imaju isti imenilac, saberite ih tako što ćete sabrati njihove brojioce.
\frac{x^{3}+x^{2}-9x+x^{2}+3x+2x+6}{x\left(x+2\right)\left(x+3\right)}
Izvršite množenja u \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)}
Kombinirajte slične izraze u x^{3}+x^{2}-9x+x^{2}+3x+2x+6.
\frac{x^{3}+2x^{2}-4x+6}{x^{3}+5x^{2}+6x}
Proširite x\left(x+2\right)\left(x+3\right).
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