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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

\frac{6x^{6}}{\left(x-3\right)\left(x-1\right)}-\frac{3}{3-x}-\frac{4}{x-1}
Tauwehea te x^{2}-4x+3.
\frac{6x^{6}}{\left(x-3\right)\left(x-1\right)}-\frac{3\left(-1\right)\left(x-1\right)}{\left(x-3\right)\left(x-1\right)}-\frac{4}{x-1}
Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o \left(x-3\right)\left(x-1\right) me 3-x ko \left(x-3\right)\left(x-1\right). Whakareatia \frac{3}{3-x} ki te \frac{-\left(x-1\right)}{-\left(x-1\right)}.
\frac{6x^{6}-3\left(-1\right)\left(x-1\right)}{\left(x-3\right)\left(x-1\right)}-\frac{4}{x-1}
Tā te mea he rite te tauraro o \frac{6x^{6}}{\left(x-3\right)\left(x-1\right)} me \frac{3\left(-1\right)\left(x-1\right)}{\left(x-3\right)\left(x-1\right)}, me tango rāua mā te tango i ō raua taurunga.
\frac{6x^{6}+3x-3}{\left(x-3\right)\left(x-1\right)}-\frac{4}{x-1}
Mahia ngā whakarea i roto o 6x^{6}-3\left(-1\right)\left(x-1\right).
\frac{6x^{6}+3x-3}{\left(x-3\right)\left(x-1\right)}-\frac{4\left(x-3\right)}{\left(x-3\right)\left(x-1\right)}
Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o \left(x-3\right)\left(x-1\right) me x-1 ko \left(x-3\right)\left(x-1\right). Whakareatia \frac{4}{x-1} ki te \frac{x-3}{x-3}.
\frac{6x^{6}+3x-3-4\left(x-3\right)}{\left(x-3\right)\left(x-1\right)}
Tā te mea he rite te tauraro o \frac{6x^{6}+3x-3}{\left(x-3\right)\left(x-1\right)} me \frac{4\left(x-3\right)}{\left(x-3\right)\left(x-1\right)}, me tango rāua mā te tango i ō raua taurunga.
\frac{6x^{6}+3x-3-4x+12}{\left(x-3\right)\left(x-1\right)}
Mahia ngā whakarea i roto o 6x^{6}+3x-3-4\left(x-3\right).
\frac{-x+6x^{6}+9}{\left(x-3\right)\left(x-1\right)}
Whakakotahitia ngā kupu rite i 6x^{6}+3x-3-4x+12.
\frac{-x+6x^{6}+9}{x^{2}-4x+3}
Whakarohaina te \left(x-3\right)\left(x-1\right).