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Whakaroha
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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

\frac{\left(3z-1\right)\left(z-4\right)}{\left(z-4\right)\left(z+4\right)}-\frac{2\left(z+4\right)}{\left(z-4\right)\left(z+4\right)}
Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o z+4 me z-4 ko \left(z-4\right)\left(z+4\right). Whakareatia \frac{3z-1}{z+4} ki te \frac{z-4}{z-4}. Whakareatia \frac{2}{z-4} ki te \frac{z+4}{z+4}.
\frac{\left(3z-1\right)\left(z-4\right)-2\left(z+4\right)}{\left(z-4\right)\left(z+4\right)}
Tā te mea he rite te tauraro o \frac{\left(3z-1\right)\left(z-4\right)}{\left(z-4\right)\left(z+4\right)} me \frac{2\left(z+4\right)}{\left(z-4\right)\left(z+4\right)}, me tango rāua mā te tango i ō raua taurunga.
\frac{3z^{2}-12z-z+4-2z-8}{\left(z-4\right)\left(z+4\right)}
Mahia ngā whakarea i roto o \left(3z-1\right)\left(z-4\right)-2\left(z+4\right).
\frac{3z^{2}-15z-4}{\left(z-4\right)\left(z+4\right)}
Whakakotahitia ngā kupu rite i 3z^{2}-12z-z+4-2z-8.
\frac{3z^{2}-15z-4}{z^{2}-16}
Whakarohaina te \left(z-4\right)\left(z+4\right).
\frac{\left(3z-1\right)\left(z-4\right)}{\left(z-4\right)\left(z+4\right)}-\frac{2\left(z+4\right)}{\left(z-4\right)\left(z+4\right)}
Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o z+4 me z-4 ko \left(z-4\right)\left(z+4\right). Whakareatia \frac{3z-1}{z+4} ki te \frac{z-4}{z-4}. Whakareatia \frac{2}{z-4} ki te \frac{z+4}{z+4}.
\frac{\left(3z-1\right)\left(z-4\right)-2\left(z+4\right)}{\left(z-4\right)\left(z+4\right)}
Tā te mea he rite te tauraro o \frac{\left(3z-1\right)\left(z-4\right)}{\left(z-4\right)\left(z+4\right)} me \frac{2\left(z+4\right)}{\left(z-4\right)\left(z+4\right)}, me tango rāua mā te tango i ō raua taurunga.
\frac{3z^{2}-12z-z+4-2z-8}{\left(z-4\right)\left(z+4\right)}
Mahia ngā whakarea i roto o \left(3z-1\right)\left(z-4\right)-2\left(z+4\right).
\frac{3z^{2}-15z-4}{\left(z-4\right)\left(z+4\right)}
Whakakotahitia ngā kupu rite i 3z^{2}-12z-z+4-2z-8.
\frac{3z^{2}-15z-4}{z^{2}-16}
Whakarohaina te \left(z-4\right)\left(z+4\right).