Izračunaj
\frac{5x^{2}+15x+18}{\left(5x+1\right)\left(x^{2}-16\right)}
Proširi
\frac{5x^{2}+15x+18}{\left(5x+1\right)\left(x^{2}-16\right)}
Grafikon
Dijeliti
Kopirano u međuspremnik
\frac{x+2}{\left(x-4\right)\left(x+4\right)}+\frac{4}{\left(x-4\right)\left(5x+1\right)}
Rastavite x^{2}-16 na faktore. Rastavite 5x^{2}-19x-4 na faktore.
\frac{\left(x+2\right)\left(5x+1\right)}{\left(x-4\right)\left(x+4\right)\left(5x+1\right)}+\frac{4\left(x+4\right)}{\left(x-4\right)\left(x+4\right)\left(5x+1\right)}
Da biste zbrojili ili oduzeli izraze, proširite ih da bi imali iste nazivnike. Najmanji zajednički višekratnik brojeva \left(x-4\right)\left(x+4\right) i \left(x-4\right)\left(5x+1\right) jest \left(x-4\right)\left(x+4\right)\left(5x+1\right). Pomnožite \frac{x+2}{\left(x-4\right)\left(x+4\right)} i \frac{5x+1}{5x+1}. Pomnožite \frac{4}{\left(x-4\right)\left(5x+1\right)} i \frac{x+4}{x+4}.
\frac{\left(x+2\right)\left(5x+1\right)+4\left(x+4\right)}{\left(x-4\right)\left(x+4\right)\left(5x+1\right)}
Budući da \frac{\left(x+2\right)\left(5x+1\right)}{\left(x-4\right)\left(x+4\right)\left(5x+1\right)} i \frac{4\left(x+4\right)}{\left(x-4\right)\left(x+4\right)\left(5x+1\right)} imaju isti nazivnik, zbrojite ih zbrajanjem njihovih brojnika.
\frac{5x^{2}+x+10x+2+4x+16}{\left(x-4\right)\left(x+4\right)\left(5x+1\right)}
Pomnožite izraz \left(x+2\right)\left(5x+1\right)+4\left(x+4\right).
\frac{5x^{2}+15x+18}{\left(x-4\right)\left(x+4\right)\left(5x+1\right)}
Kombinirajte slične izraze u 5x^{2}+x+10x+2+4x+16.
\frac{5x^{2}+15x+18}{5x^{3}+x^{2}-80x-16}
Proširivanje broja \left(x-4\right)\left(x+4\right)\left(5x+1\right).
\frac{x+2}{\left(x-4\right)\left(x+4\right)}+\frac{4}{\left(x-4\right)\left(5x+1\right)}
Rastavite x^{2}-16 na faktore. Rastavite 5x^{2}-19x-4 na faktore.
\frac{\left(x+2\right)\left(5x+1\right)}{\left(x-4\right)\left(x+4\right)\left(5x+1\right)}+\frac{4\left(x+4\right)}{\left(x-4\right)\left(x+4\right)\left(5x+1\right)}
Da biste zbrojili ili oduzeli izraze, proširite ih da bi imali iste nazivnike. Najmanji zajednički višekratnik brojeva \left(x-4\right)\left(x+4\right) i \left(x-4\right)\left(5x+1\right) jest \left(x-4\right)\left(x+4\right)\left(5x+1\right). Pomnožite \frac{x+2}{\left(x-4\right)\left(x+4\right)} i \frac{5x+1}{5x+1}. Pomnožite \frac{4}{\left(x-4\right)\left(5x+1\right)} i \frac{x+4}{x+4}.
\frac{\left(x+2\right)\left(5x+1\right)+4\left(x+4\right)}{\left(x-4\right)\left(x+4\right)\left(5x+1\right)}
Budući da \frac{\left(x+2\right)\left(5x+1\right)}{\left(x-4\right)\left(x+4\right)\left(5x+1\right)} i \frac{4\left(x+4\right)}{\left(x-4\right)\left(x+4\right)\left(5x+1\right)} imaju isti nazivnik, zbrojite ih zbrajanjem njihovih brojnika.
\frac{5x^{2}+x+10x+2+4x+16}{\left(x-4\right)\left(x+4\right)\left(5x+1\right)}
Pomnožite izraz \left(x+2\right)\left(5x+1\right)+4\left(x+4\right).
\frac{5x^{2}+15x+18}{\left(x-4\right)\left(x+4\right)\left(5x+1\right)}
Kombinirajte slične izraze u 5x^{2}+x+10x+2+4x+16.
\frac{5x^{2}+15x+18}{5x^{3}+x^{2}-80x-16}
Proširivanje broja \left(x-4\right)\left(x+4\right)\left(5x+1\right).
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