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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

\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)}
Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o \beta +1 me \alpha +1 ko \left(\alpha +1\right)\left(\beta +1\right). Whakareatia \frac{\alpha }{\beta +1} ki te \frac{\alpha +1}{\alpha +1}. Whakareatia \frac{\beta }{\alpha +1} ki te \frac{\beta +1}{\beta +1}.
\frac{\alpha \left(\alpha +1\right)+\beta \left(\beta +1\right)}{\left(\alpha +1\right)\left(\beta +1\right)}
Tā te mea he rite te tauraro o \frac{\alpha \left(\alpha +1\right)}{\left(\alpha +1\right)\left(\beta +1\right)} me \frac{\beta \left(\beta +1\right)}{\left(\alpha +1\right)\left(\beta +1\right)}, me tāpiri rāua mā te tāpiri i ō raua taurunga.
\frac{\alpha ^{2}+\alpha +\beta ^{2}+\beta }{\left(\alpha +1\right)\left(\beta +1\right)}
Mahia ngā whakarea i roto o \alpha \left(\alpha +1\right)+\beta \left(\beta +1\right).
\frac{\alpha ^{2}+\alpha +\beta ^{2}+\beta }{\alpha \beta +\alpha +\beta +1}
Whakarohaina te \left(\alpha +1\right)\left(\beta +1\right).