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\frac{2}{x\left(x-1\right)}+\frac{5}{\left(-x+1\right)x^{2}}+\frac{3}{x^{2}-1}
Tauwehea te x^{2}-x. Tauwehea te x^{2}-x^{3}.
\frac{2x}{\left(x-1\right)x^{2}}+\frac{5\left(-1\right)}{\left(x-1\right)x^{2}}+\frac{3}{x^{2}-1}
Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o x\left(x-1\right) me \left(-x+1\right)x^{2} ko \left(x-1\right)x^{2}. Whakareatia \frac{2}{x\left(x-1\right)} ki te \frac{x}{x}. Whakareatia \frac{5}{\left(-x+1\right)x^{2}} ki te \frac{-1}{-1}.
\frac{2x+5\left(-1\right)}{\left(x-1\right)x^{2}}+\frac{3}{x^{2}-1}
Tā te mea he rite te tauraro o \frac{2x}{\left(x-1\right)x^{2}} me \frac{5\left(-1\right)}{\left(x-1\right)x^{2}}, me tāpiri rāua mā te tāpiri i ō raua taurunga.
\frac{2x-5}{\left(x-1\right)x^{2}}+\frac{3}{x^{2}-1}
Mahia ngā whakarea i roto o 2x+5\left(-1\right).
\frac{2x-5}{\left(x-1\right)x^{2}}+\frac{3}{\left(x-1\right)\left(x+1\right)}
Tauwehea te x^{2}-1.
\frac{\left(2x-5\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)x^{2}}+\frac{3x^{2}}{\left(x-1\right)\left(x+1\right)x^{2}}
Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o \left(x-1\right)x^{2} me \left(x-1\right)\left(x+1\right) ko \left(x-1\right)\left(x+1\right)x^{2}. Whakareatia \frac{2x-5}{\left(x-1\right)x^{2}} ki te \frac{x+1}{x+1}. Whakareatia \frac{3}{\left(x-1\right)\left(x+1\right)} ki te \frac{x^{2}}{x^{2}}.
\frac{\left(2x-5\right)\left(x+1\right)+3x^{2}}{\left(x-1\right)\left(x+1\right)x^{2}}
Tā te mea he rite te tauraro o \frac{\left(2x-5\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)x^{2}} me \frac{3x^{2}}{\left(x-1\right)\left(x+1\right)x^{2}}, me tāpiri rāua mā te tāpiri i ō raua taurunga.
\frac{2x^{2}+2x-5x-5+3x^{2}}{\left(x-1\right)\left(x+1\right)x^{2}}
Mahia ngā whakarea i roto o \left(2x-5\right)\left(x+1\right)+3x^{2}.
\frac{5x^{2}-3x-5}{\left(x-1\right)\left(x+1\right)x^{2}}
Whakakotahitia ngā kupu rite i 2x^{2}+2x-5x-5+3x^{2}.
\frac{5x^{2}-3x-5}{x^{4}-x^{2}}
Whakarohaina te \left(x-1\right)\left(x+1\right)x^{2}.