Ovrednoti
\frac{3\left(\alpha ^{2}+\alpha +\beta ^{2}+\beta \right)}{\left(\alpha +1\right)\left(\beta +1\right)}
Faktoriziraj
\frac{3\left(\alpha ^{2}+\alpha +\beta ^{2}+\beta \right)}{\left(\alpha +1\right)\left(\beta +1\right)}
Delež
Kopirano v odložišče
\frac{3\beta \left(\beta +1\right)}{\left(\alpha +1\right)\left(\beta +1\right)}+\frac{3\alpha \left(\alpha +1\right)}{\left(\alpha +1\right)\left(\beta +1\right)}
Če želite prišteti ali odšteti izraze, jih razširite na skupne imenovalce. Najmanjši skupni mnogokratnik \alpha +1 in \beta +1 je \left(\alpha +1\right)\left(\beta +1\right). Pomnožite \frac{3\beta }{\alpha +1} s/z \frac{\beta +1}{\beta +1}. Pomnožite \frac{3\alpha }{\beta +1} s/z \frac{\alpha +1}{\alpha +1}.
\frac{3\beta \left(\beta +1\right)+3\alpha \left(\alpha +1\right)}{\left(\alpha +1\right)\left(\beta +1\right)}
\frac{3\beta \left(\beta +1\right)}{\left(\alpha +1\right)\left(\beta +1\right)} in \frac{3\alpha \left(\alpha +1\right)}{\left(\alpha +1\right)\left(\beta +1\right)} imata isti imenovalec, zato ju seštejte tako, da seštejete njuna števca.
\frac{3\beta ^{2}+3\beta +3\alpha ^{2}+3\alpha }{\left(\alpha +1\right)\left(\beta +1\right)}
Izvedi množenje v 3\beta \left(\beta +1\right)+3\alpha \left(\alpha +1\right).
\frac{3\beta ^{2}+3\beta +3\alpha ^{2}+3\alpha }{\alpha \beta +\alpha +\beta +1}
Razčlenite \left(\alpha +1\right)\left(\beta +1\right).
Primeri
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