Izračunaj
\frac{x^{2}+5}{\left(x+5\right)\left(x^{2}-1\right)}
Proširi
\frac{x^{2}+5}{\left(x+5\right)\left(x^{2}-1\right)}
Grafikon
Dijeliti
Kopirano u međuspremnik
\frac{x+2}{\left(x-1\right)\left(x+5\right)}-\frac{3}{\left(x+1\right)\left(x+5\right)}
Rastavite x^{2}+4x-5 na faktore. Rastavite x^{2}+6x+5 na faktore.
\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)}
Da biste zbrojili ili oduzeli izraze, proširite ih da bi imali iste nazivnike. Najmanji zajednički višekratnik brojeva \left(x-1\right)\left(x+5\right) i \left(x+1\right)\left(x+5\right) jest \left(x-1\right)\left(x+1\right)\left(x+5\right). Pomnožite \frac{x+2}{\left(x-1\right)\left(x+5\right)} i \frac{x+1}{x+1}. Pomnožite \frac{3}{\left(x+1\right)\left(x+5\right)} i \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)}
Budući da \frac{\left(x+2\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)\left(x+5\right)} i \frac{3\left(x-1\right)}{\left(x-1\right)\left(x+1\right)\left(x+5\right)} imaju isti nazivnik, oduzmite ih oduzimanje njihovih brojnika.
\frac{x^{2}+x+2x+2-3x+3}{\left(x-1\right)\left(x+1\right)\left(x+5\right)}
Pomnožite izraz \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)}
Kombinirajte slične izraze u x^{2}+x+2x+2-3x+3.
\frac{x^{2}+5}{x^{3}+5x^{2}-x-5}
Proširivanje broja \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)}
Rastavite x^{2}+4x-5 na faktore. Rastavite x^{2}+6x+5 na faktore.
\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)}
Da biste zbrojili ili oduzeli izraze, proširite ih da bi imali iste nazivnike. Najmanji zajednički višekratnik brojeva \left(x-1\right)\left(x+5\right) i \left(x+1\right)\left(x+5\right) jest \left(x-1\right)\left(x+1\right)\left(x+5\right). Pomnožite \frac{x+2}{\left(x-1\right)\left(x+5\right)} i \frac{x+1}{x+1}. Pomnožite \frac{3}{\left(x+1\right)\left(x+5\right)} i \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)}
Budući da \frac{\left(x+2\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)\left(x+5\right)} i \frac{3\left(x-1\right)}{\left(x-1\right)\left(x+1\right)\left(x+5\right)} imaju isti nazivnik, oduzmite ih oduzimanje njihovih brojnika.
\frac{x^{2}+x+2x+2-3x+3}{\left(x-1\right)\left(x+1\right)\left(x+5\right)}
Pomnožite izraz \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)}
Kombinirajte slične izraze u x^{2}+x+2x+2-3x+3.
\frac{x^{2}+5}{x^{3}+5x^{2}-x-5}
Proširivanje broja \left(x-1\right)\left(x+1\right)\left(x+5\right).
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