Ovrednoti
\frac{5x^{2}+15x+18}{\left(5x+1\right)\left(x^{2}-16\right)}
Razširi
\frac{5x^{2}+15x+18}{\left(5x+1\right)\left(x^{2}-16\right)}
Graf
Delež
Kopirano v odložišče
\frac{x+2}{\left(x-4\right)\left(x+4\right)}+\frac{4}{\left(x-4\right)\left(5x+1\right)}
Faktorizirajte x^{2}-16. Faktorizirajte 5x^{2}-19x-4.
\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)}
Če želite prišteti ali odšteti izraze, jih razširite na skupne imenovalce. Najmanjši skupni mnogokratnik \left(x-4\right)\left(x+4\right) in \left(x-4\right)\left(5x+1\right) je \left(x-4\right)\left(x+4\right)\left(5x+1\right). Pomnožite \frac{x+2}{\left(x-4\right)\left(x+4\right)} s/z \frac{5x+1}{5x+1}. Pomnožite \frac{4}{\left(x-4\right)\left(5x+1\right)} s/z \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)}
\frac{\left(x+2\right)\left(5x+1\right)}{\left(x-4\right)\left(x+4\right)\left(5x+1\right)} in \frac{4\left(x+4\right)}{\left(x-4\right)\left(x+4\right)\left(5x+1\right)} imata isti imenovalec, zato ju seštejte tako, da seštejete njuna števca.
\frac{5x^{2}+x+10x+2+4x+16}{\left(x-4\right)\left(x+4\right)\left(5x+1\right)}
Izvedi množenje v \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)}
Združite podobne člene v 5x^{2}+x+10x+2+4x+16.
\frac{5x^{2}+15x+18}{5x^{3}+x^{2}-80x-16}
Razčlenite \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)}
Faktorizirajte x^{2}-16. Faktorizirajte 5x^{2}-19x-4.
\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)}
Če želite prišteti ali odšteti izraze, jih razširite na skupne imenovalce. Najmanjši skupni mnogokratnik \left(x-4\right)\left(x+4\right) in \left(x-4\right)\left(5x+1\right) je \left(x-4\right)\left(x+4\right)\left(5x+1\right). Pomnožite \frac{x+2}{\left(x-4\right)\left(x+4\right)} s/z \frac{5x+1}{5x+1}. Pomnožite \frac{4}{\left(x-4\right)\left(5x+1\right)} s/z \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)}
\frac{\left(x+2\right)\left(5x+1\right)}{\left(x-4\right)\left(x+4\right)\left(5x+1\right)} in \frac{4\left(x+4\right)}{\left(x-4\right)\left(x+4\right)\left(5x+1\right)} imata isti imenovalec, zato ju seštejte tako, da seštejete njuna števca.
\frac{5x^{2}+x+10x+2+4x+16}{\left(x-4\right)\left(x+4\right)\left(5x+1\right)}
Izvedi množenje v \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)}
Združite podobne člene v 5x^{2}+x+10x+2+4x+16.
\frac{5x^{2}+15x+18}{5x^{3}+x^{2}-80x-16}
Razčlenite \left(x-4\right)\left(x+4\right)\left(5x+1\right).
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