Aromātai
\frac{m^{2}+mn+n^{2}}{m^{3}+n^{3}}
Kimi Pārōnaki e ai ki m
\frac{-m^{4}+2mn^{3}+n^{4}-2nm^{3}-3\left(mn\right)^{2}}{\left(m^{3}+n^{3}\right)^{2}}
Tohaina
Kua tāruatia ki te papatopenga
\frac{2mn}{\left(m+n\right)\left(m^{2}-mn+n^{2}\right)}+\frac{2m}{\left(m+n\right)\left(m-n\right)}-\frac{1}{m-n}
Tauwehea te m^{3}+n^{3}. Tauwehea te m^{2}-n^{2}.
\frac{2mn\left(m-n\right)}{\left(m+n\right)\left(m-n\right)\left(m^{2}-mn+n^{2}\right)}+\frac{2m\left(m^{2}-mn+n^{2}\right)}{\left(m+n\right)\left(m-n\right)\left(m^{2}-mn+n^{2}\right)}-\frac{1}{m-n}
Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o \left(m+n\right)\left(m^{2}-mn+n^{2}\right) me \left(m+n\right)\left(m-n\right) ko \left(m+n\right)\left(m-n\right)\left(m^{2}-mn+n^{2}\right). Whakareatia \frac{2mn}{\left(m+n\right)\left(m^{2}-mn+n^{2}\right)} ki te \frac{m-n}{m-n}. Whakareatia \frac{2m}{\left(m+n\right)\left(m-n\right)} ki te \frac{m^{2}-mn+n^{2}}{m^{2}-mn+n^{2}}.
\frac{2mn\left(m-n\right)+2m\left(m^{2}-mn+n^{2}\right)}{\left(m+n\right)\left(m-n\right)\left(m^{2}-mn+n^{2}\right)}-\frac{1}{m-n}
Tā te mea he rite te tauraro o \frac{2mn\left(m-n\right)}{\left(m+n\right)\left(m-n\right)\left(m^{2}-mn+n^{2}\right)} me \frac{2m\left(m^{2}-mn+n^{2}\right)}{\left(m+n\right)\left(m-n\right)\left(m^{2}-mn+n^{2}\right)}, me tāpiri rāua mā te tāpiri i ō raua taurunga.
\frac{2m^{2}n-2mn^{2}+2m^{3}-2m^{2}n+2mn^{2}}{\left(m+n\right)\left(m-n\right)\left(m^{2}-mn+n^{2}\right)}-\frac{1}{m-n}
Mahia ngā whakarea i roto o 2mn\left(m-n\right)+2m\left(m^{2}-mn+n^{2}\right).
\frac{2m^{3}}{\left(m+n\right)\left(m-n\right)\left(m^{2}-mn+n^{2}\right)}-\frac{1}{m-n}
Whakakotahitia ngā kupu rite i 2m^{2}n-2mn^{2}+2m^{3}-2m^{2}n+2mn^{2}.
\frac{2m^{3}}{\left(m+n\right)\left(m-n\right)\left(m^{2}-mn+n^{2}\right)}-\frac{\left(m+n\right)\left(m^{2}-mn+n^{2}\right)}{\left(m+n\right)\left(m-n\right)\left(m^{2}-mn+n^{2}\right)}
Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o \left(m+n\right)\left(m-n\right)\left(m^{2}-mn+n^{2}\right) me m-n ko \left(m+n\right)\left(m-n\right)\left(m^{2}-mn+n^{2}\right). Whakareatia \frac{1}{m-n} ki te \frac{\left(m+n\right)\left(m^{2}-mn+n^{2}\right)}{\left(m+n\right)\left(m^{2}-mn+n^{2}\right)}.
\frac{2m^{3}-\left(m+n\right)\left(m^{2}-mn+n^{2}\right)}{\left(m+n\right)\left(m-n\right)\left(m^{2}-mn+n^{2}\right)}
Tā te mea he rite te tauraro o \frac{2m^{3}}{\left(m+n\right)\left(m-n\right)\left(m^{2}-mn+n^{2}\right)} me \frac{\left(m+n\right)\left(m^{2}-mn+n^{2}\right)}{\left(m+n\right)\left(m-n\right)\left(m^{2}-mn+n^{2}\right)}, me tango rāua mā te tango i ō raua taurunga.
\frac{2m^{3}-m^{3}+m^{2}n-mn^{2}-nm^{2}+n^{2}m-n^{3}}{\left(m+n\right)\left(m-n\right)\left(m^{2}-mn+n^{2}\right)}
Mahia ngā whakarea i roto o 2m^{3}-\left(m+n\right)\left(m^{2}-mn+n^{2}\right).
\frac{m^{3}-n^{3}}{\left(m+n\right)\left(m-n\right)\left(m^{2}-mn+n^{2}\right)}
Whakakotahitia ngā kupu rite i 2m^{3}-m^{3}+m^{2}n-mn^{2}-nm^{2}+n^{2}m-n^{3}.
\frac{\left(m-n\right)\left(m^{2}+mn+n^{2}\right)}{\left(m+n\right)\left(m-n\right)\left(m^{2}-mn+n^{2}\right)}
Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{m^{3}-n^{3}}{\left(m+n\right)\left(m-n\right)\left(m^{2}-mn+n^{2}\right)}.
\frac{m^{2}+mn+n^{2}}{\left(m+n\right)\left(m^{2}-mn+n^{2}\right)}
Me whakakore tahi te m-n i te taurunga me te tauraro.
\frac{m^{2}+mn+n^{2}}{m^{3}+n^{3}}
Whakarohaina te \left(m+n\right)\left(m^{2}-mn+n^{2}\right).
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