Ovrednoti
\frac{2\left(x^{2}+3x+15\right)}{\left(x+3\right)\left(x+5\right)}
Razširi
\frac{2\left(x^{2}+3x+15\right)}{\left(x+3\right)\left(x+5\right)}
Graf
Delež
Kopirano v odložišče
\frac{\frac{2\left(x+3\right)}{\left(x+3\right)\left(x+5\right)}+\frac{4\left(x+5\right)}{\left(x+3\right)\left(x+5\right)}}{\frac{3x+13}{x^{2}+3x+15}}
Če želite prišteti ali odšteti izraze, jih razširite na skupne imenovalce. Najmanjši skupni mnogokratnik x+5 in x+3 je \left(x+3\right)\left(x+5\right). Pomnožite \frac{2}{x+5} s/z \frac{x+3}{x+3}. Pomnožite \frac{4}{x+3} s/z \frac{x+5}{x+5}.
\frac{\frac{2\left(x+3\right)+4\left(x+5\right)}{\left(x+3\right)\left(x+5\right)}}{\frac{3x+13}{x^{2}+3x+15}}
\frac{2\left(x+3\right)}{\left(x+3\right)\left(x+5\right)} in \frac{4\left(x+5\right)}{\left(x+3\right)\left(x+5\right)} imata isti imenovalec, zato ju seštejte tako, da seštejete njuna števca.
\frac{\frac{2x+6+4x+20}{\left(x+3\right)\left(x+5\right)}}{\frac{3x+13}{x^{2}+3x+15}}
Izvedi množenje v 2\left(x+3\right)+4\left(x+5\right).
\frac{\frac{6x+26}{\left(x+3\right)\left(x+5\right)}}{\frac{3x+13}{x^{2}+3x+15}}
Združite podobne člene v 2x+6+4x+20.
\frac{\left(6x+26\right)\left(x^{2}+3x+15\right)}{\left(x+3\right)\left(x+5\right)\left(3x+13\right)}
Delite \frac{6x+26}{\left(x+3\right)\left(x+5\right)} s/z \frac{3x+13}{x^{2}+3x+15} tako, da pomnožite \frac{6x+26}{\left(x+3\right)\left(x+5\right)} z obratno vrednostjo \frac{3x+13}{x^{2}+3x+15}.
\frac{2\left(3x+13\right)\left(x^{2}+3x+15\right)}{\left(x+3\right)\left(x+5\right)\left(3x+13\right)}
Faktorizirajte izraze, ki še niso faktorizirani.
\frac{2\left(x^{2}+3x+15\right)}{\left(x+3\right)\left(x+5\right)}
Okrajšaj 3x+13 v števcu in imenovalcu.
\frac{2x^{2}+6x+30}{x^{2}+8x+15}
Razširite izraz.
\frac{\frac{2\left(x+3\right)}{\left(x+3\right)\left(x+5\right)}+\frac{4\left(x+5\right)}{\left(x+3\right)\left(x+5\right)}}{\frac{3x+13}{x^{2}+3x+15}}
Če želite prišteti ali odšteti izraze, jih razširite na skupne imenovalce. Najmanjši skupni mnogokratnik x+5 in x+3 je \left(x+3\right)\left(x+5\right). Pomnožite \frac{2}{x+5} s/z \frac{x+3}{x+3}. Pomnožite \frac{4}{x+3} s/z \frac{x+5}{x+5}.
\frac{\frac{2\left(x+3\right)+4\left(x+5\right)}{\left(x+3\right)\left(x+5\right)}}{\frac{3x+13}{x^{2}+3x+15}}
\frac{2\left(x+3\right)}{\left(x+3\right)\left(x+5\right)} in \frac{4\left(x+5\right)}{\left(x+3\right)\left(x+5\right)} imata isti imenovalec, zato ju seštejte tako, da seštejete njuna števca.
\frac{\frac{2x+6+4x+20}{\left(x+3\right)\left(x+5\right)}}{\frac{3x+13}{x^{2}+3x+15}}
Izvedi množenje v 2\left(x+3\right)+4\left(x+5\right).
\frac{\frac{6x+26}{\left(x+3\right)\left(x+5\right)}}{\frac{3x+13}{x^{2}+3x+15}}
Združite podobne člene v 2x+6+4x+20.
\frac{\left(6x+26\right)\left(x^{2}+3x+15\right)}{\left(x+3\right)\left(x+5\right)\left(3x+13\right)}
Delite \frac{6x+26}{\left(x+3\right)\left(x+5\right)} s/z \frac{3x+13}{x^{2}+3x+15} tako, da pomnožite \frac{6x+26}{\left(x+3\right)\left(x+5\right)} z obratno vrednostjo \frac{3x+13}{x^{2}+3x+15}.
\frac{2\left(3x+13\right)\left(x^{2}+3x+15\right)}{\left(x+3\right)\left(x+5\right)\left(3x+13\right)}
Faktorizirajte izraze, ki še niso faktorizirani.
\frac{2\left(x^{2}+3x+15\right)}{\left(x+3\right)\left(x+5\right)}
Okrajšaj 3x+13 v števcu in imenovalcu.
\frac{2x^{2}+6x+30}{x^{2}+8x+15}
Razširite izraz.
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