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Whakaroha
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\frac{x}{\left(x-3\right)\left(2x-1\right)}+\frac{x-3}{\left(2x-1\right)\left(2x+3\right)}-\frac{x^{2}+1}{2x^{2}-3x}
Tauwehea te 2x^{2}-7x+3. Tauwehea te 4x^{2}+4x-3.
\frac{x\left(2x+3\right)}{\left(x-3\right)\left(2x-1\right)\left(2x+3\right)}+\frac{\left(x-3\right)\left(x-3\right)}{\left(x-3\right)\left(2x-1\right)\left(2x+3\right)}-\frac{x^{2}+1}{2x^{2}-3x}
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(2x-1\right) me \left(2x-1\right)\left(2x+3\right) ko \left(x-3\right)\left(2x-1\right)\left(2x+3\right). Whakareatia \frac{x}{\left(x-3\right)\left(2x-1\right)} ki te \frac{2x+3}{2x+3}. Whakareatia \frac{x-3}{\left(2x-1\right)\left(2x+3\right)} ki te \frac{x-3}{x-3}.
\frac{x\left(2x+3\right)+\left(x-3\right)\left(x-3\right)}{\left(x-3\right)\left(2x-1\right)\left(2x+3\right)}-\frac{x^{2}+1}{2x^{2}-3x}
Tā te mea he rite te tauraro o \frac{x\left(2x+3\right)}{\left(x-3\right)\left(2x-1\right)\left(2x+3\right)} me \frac{\left(x-3\right)\left(x-3\right)}{\left(x-3\right)\left(2x-1\right)\left(2x+3\right)}, me tāpiri rāua mā te tāpiri i ō raua taurunga.
\frac{2x^{2}+3x+x^{2}-3x-3x+9}{\left(x-3\right)\left(2x-1\right)\left(2x+3\right)}-\frac{x^{2}+1}{2x^{2}-3x}
Mahia ngā whakarea i roto o x\left(2x+3\right)+\left(x-3\right)\left(x-3\right).
\frac{3x^{2}-3x+9}{\left(x-3\right)\left(2x-1\right)\left(2x+3\right)}-\frac{x^{2}+1}{2x^{2}-3x}
Whakakotahitia ngā kupu rite i 2x^{2}+3x+x^{2}-3x-3x+9.
\frac{3x^{2}-3x+9}{\left(x-3\right)\left(2x-1\right)\left(2x+3\right)}-\frac{x^{2}+1}{x\left(2x-3\right)}
Tauwehea te 2x^{2}-3x.
\frac{\left(3x^{2}-3x+9\right)x\left(2x-3\right)}{x\left(x-3\right)\left(2x-3\right)\left(2x-1\right)\left(2x+3\right)}-\frac{\left(x^{2}+1\right)\left(x-3\right)\left(2x-1\right)\left(2x+3\right)}{x\left(x-3\right)\left(2x-3\right)\left(2x-1\right)\left(2x+3\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(2x-1\right)\left(2x+3\right) me x\left(2x-3\right) ko x\left(x-3\right)\left(2x-3\right)\left(2x-1\right)\left(2x+3\right). Whakareatia \frac{3x^{2}-3x+9}{\left(x-3\right)\left(2x-1\right)\left(2x+3\right)} ki te \frac{x\left(2x-3\right)}{x\left(2x-3\right)}. Whakareatia \frac{x^{2}+1}{x\left(2x-3\right)} ki te \frac{\left(x-3\right)\left(2x-1\right)\left(2x+3\right)}{\left(x-3\right)\left(2x-1\right)\left(2x+3\right)}.
\frac{\left(3x^{2}-3x+9\right)x\left(2x-3\right)-\left(x^{2}+1\right)\left(x-3\right)\left(2x-1\right)\left(2x+3\right)}{x\left(x-3\right)\left(2x-3\right)\left(2x-1\right)\left(2x+3\right)}
Tā te mea he rite te tauraro o \frac{\left(3x^{2}-3x+9\right)x\left(2x-3\right)}{x\left(x-3\right)\left(2x-3\right)\left(2x-1\right)\left(2x+3\right)} me \frac{\left(x^{2}+1\right)\left(x-3\right)\left(2x-1\right)\left(2x+3\right)}{x\left(x-3\right)\left(2x-3\right)\left(2x-1\right)\left(2x+3\right)}, me tango rāua mā te tango i ō raua taurunga.
\frac{6x^{4}-9x^{3}-6x^{3}+9x^{2}+18x^{2}-27x-4x^{5}+8x^{4}+15x^{3}-9x^{2}-4x^{3}+8x^{2}+15x-9}{x\left(x-3\right)\left(2x-3\right)\left(2x-1\right)\left(2x+3\right)}
Mahia ngā whakarea i roto o \left(3x^{2}-3x+9\right)x\left(2x-3\right)-\left(x^{2}+1\right)\left(x-3\right)\left(2x-1\right)\left(2x+3\right).
\frac{14x^{4}-4x^{3}+26x^{2}-12x-4x^{5}-9}{x\left(x-3\right)\left(2x-3\right)\left(2x-1\right)\left(2x+3\right)}
Whakakotahitia ngā kupu rite i 6x^{4}-9x^{3}-6x^{3}+9x^{2}+18x^{2}-27x-4x^{5}+8x^{4}+15x^{3}-9x^{2}-4x^{3}+8x^{2}+15x-9.
\frac{14x^{4}-4x^{3}+26x^{2}-12x-4x^{5}-9}{8x^{5}-28x^{4}-6x^{3}+63x^{2}-27x}
Whakarohaina te x\left(x-3\right)\left(2x-3\right)\left(2x-1\right)\left(2x+3\right).
\frac{x}{\left(x-3\right)\left(2x-1\right)}+\frac{x-3}{\left(2x-1\right)\left(2x+3\right)}-\frac{x^{2}+1}{2x^{2}-3x}
Tauwehea te 2x^{2}-7x+3. Tauwehea te 4x^{2}+4x-3.
\frac{x\left(2x+3\right)}{\left(x-3\right)\left(2x-1\right)\left(2x+3\right)}+\frac{\left(x-3\right)\left(x-3\right)}{\left(x-3\right)\left(2x-1\right)\left(2x+3\right)}-\frac{x^{2}+1}{2x^{2}-3x}
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(2x-1\right) me \left(2x-1\right)\left(2x+3\right) ko \left(x-3\right)\left(2x-1\right)\left(2x+3\right). Whakareatia \frac{x}{\left(x-3\right)\left(2x-1\right)} ki te \frac{2x+3}{2x+3}. Whakareatia \frac{x-3}{\left(2x-1\right)\left(2x+3\right)} ki te \frac{x-3}{x-3}.
\frac{x\left(2x+3\right)+\left(x-3\right)\left(x-3\right)}{\left(x-3\right)\left(2x-1\right)\left(2x+3\right)}-\frac{x^{2}+1}{2x^{2}-3x}
Tā te mea he rite te tauraro o \frac{x\left(2x+3\right)}{\left(x-3\right)\left(2x-1\right)\left(2x+3\right)} me \frac{\left(x-3\right)\left(x-3\right)}{\left(x-3\right)\left(2x-1\right)\left(2x+3\right)}, me tāpiri rāua mā te tāpiri i ō raua taurunga.
\frac{2x^{2}+3x+x^{2}-3x-3x+9}{\left(x-3\right)\left(2x-1\right)\left(2x+3\right)}-\frac{x^{2}+1}{2x^{2}-3x}
Mahia ngā whakarea i roto o x\left(2x+3\right)+\left(x-3\right)\left(x-3\right).
\frac{3x^{2}-3x+9}{\left(x-3\right)\left(2x-1\right)\left(2x+3\right)}-\frac{x^{2}+1}{2x^{2}-3x}
Whakakotahitia ngā kupu rite i 2x^{2}+3x+x^{2}-3x-3x+9.
\frac{3x^{2}-3x+9}{\left(x-3\right)\left(2x-1\right)\left(2x+3\right)}-\frac{x^{2}+1}{x\left(2x-3\right)}
Tauwehea te 2x^{2}-3x.
\frac{\left(3x^{2}-3x+9\right)x\left(2x-3\right)}{x\left(x-3\right)\left(2x-3\right)\left(2x-1\right)\left(2x+3\right)}-\frac{\left(x^{2}+1\right)\left(x-3\right)\left(2x-1\right)\left(2x+3\right)}{x\left(x-3\right)\left(2x-3\right)\left(2x-1\right)\left(2x+3\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(2x-1\right)\left(2x+3\right) me x\left(2x-3\right) ko x\left(x-3\right)\left(2x-3\right)\left(2x-1\right)\left(2x+3\right). Whakareatia \frac{3x^{2}-3x+9}{\left(x-3\right)\left(2x-1\right)\left(2x+3\right)} ki te \frac{x\left(2x-3\right)}{x\left(2x-3\right)}. Whakareatia \frac{x^{2}+1}{x\left(2x-3\right)} ki te \frac{\left(x-3\right)\left(2x-1\right)\left(2x+3\right)}{\left(x-3\right)\left(2x-1\right)\left(2x+3\right)}.
\frac{\left(3x^{2}-3x+9\right)x\left(2x-3\right)-\left(x^{2}+1\right)\left(x-3\right)\left(2x-1\right)\left(2x+3\right)}{x\left(x-3\right)\left(2x-3\right)\left(2x-1\right)\left(2x+3\right)}
Tā te mea he rite te tauraro o \frac{\left(3x^{2}-3x+9\right)x\left(2x-3\right)}{x\left(x-3\right)\left(2x-3\right)\left(2x-1\right)\left(2x+3\right)} me \frac{\left(x^{2}+1\right)\left(x-3\right)\left(2x-1\right)\left(2x+3\right)}{x\left(x-3\right)\left(2x-3\right)\left(2x-1\right)\left(2x+3\right)}, me tango rāua mā te tango i ō raua taurunga.
\frac{6x^{4}-9x^{3}-6x^{3}+9x^{2}+18x^{2}-27x-4x^{5}+8x^{4}+15x^{3}-9x^{2}-4x^{3}+8x^{2}+15x-9}{x\left(x-3\right)\left(2x-3\right)\left(2x-1\right)\left(2x+3\right)}
Mahia ngā whakarea i roto o \left(3x^{2}-3x+9\right)x\left(2x-3\right)-\left(x^{2}+1\right)\left(x-3\right)\left(2x-1\right)\left(2x+3\right).
\frac{14x^{4}-4x^{3}+26x^{2}-12x-4x^{5}-9}{x\left(x-3\right)\left(2x-3\right)\left(2x-1\right)\left(2x+3\right)}
Whakakotahitia ngā kupu rite i 6x^{4}-9x^{3}-6x^{3}+9x^{2}+18x^{2}-27x-4x^{5}+8x^{4}+15x^{3}-9x^{2}-4x^{3}+8x^{2}+15x-9.
\frac{14x^{4}-4x^{3}+26x^{2}-12x-4x^{5}-9}{8x^{5}-28x^{4}-6x^{3}+63x^{2}-27x}
Whakarohaina te x\left(x-3\right)\left(2x-3\right)\left(2x-1\right)\left(2x+3\right).