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