Whakaoti i te frac{a^{2}-a}{a^{2}+1}+2a^2/a^3-a^2+a-1)*(1-1/a^2)=

$$\frac { a ^ { 2 } - a } { a ^ { 2 } + 1 } + \frac { 2 a ^ { 2 } } { a ^ { 3 } - a ^ { 2 } + a - 1 } ) \cdot ( 1 - \frac { 1 } { a ^ { 2 } } ) =$$

Aromātai

$$\frac{a}{a-1}$$

Ngā Hipanga Rongoā Poto

Tauwehea te a^{3}-a^{2}+a-1.

$$\frac{a^{2}-a}{a^{2}+1}+\frac{2a^{2}}{\left(a-1\right)\left(a^{2}+1\right)}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o a^{2}+1 me \left(a-1\right)\left(a^{2}+1\right) ko \left(a-1\right)\left(a^{2}+1\right). Whakareatia \frac{a^{2}-a}{a^{2}+1} ki te \frac{a-1}{a-1}.

$$\frac{\left(a^{2}-a\right)\left(a-1\right)}{\left(a-1\right)\left(a^{2}+1\right)}+\frac{2a^{2}}{\left(a-1\right)\left(a^{2}+1\right)}$$

Tā te mea he rite te tauraro o \frac{\left(a^{2}-a\right)\left(a-1\right)}{\left(a-1\right)\left(a^{2}+1\right)} me \frac{2a^{2}}{\left(a-1\right)\left(a^{2}+1\right)}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\left(a^{2}-a\right)\left(a-1\right)+2a^{2}}{\left(a-1\right)\left(a^{2}+1\right)}$$

Mahia ngā whakarea i roto o \left(a^{2}-a\right)\left(a-1\right)+2a^{2}.

$$\frac{a^{3}-a^{2}-a^{2}+a+2a^{2}}{\left(a-1\right)\left(a^{2}+1\right)}$$

Whakakotahitia ngā kupu rite i a^{3}-a^{2}-a^{2}+a+2a^{2}.

$$\frac{a^{3}+a}{\left(a-1\right)\left(a^{2}+1\right)}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{a^{3}+a}{\left(a-1\right)\left(a^{2}+1\right)}.

$$\frac{a\left(a^{2}+1\right)}{\left(a-1\right)\left(a^{2}+1\right)}$$

Me whakakore tahi te a^{2}+1 i te taurunga me te tauraro.

$$\frac{a}{a-1}$$

Whakaroha

$$\frac{a}{a-1}$$

Ngā Hipanga Rongoā Poto

Tauwehea te a^{3}-a^{2}+a-1.

$$\frac{a^{2}-a}{a^{2}+1}+\frac{2a^{2}}{\left(a-1\right)\left(a^{2}+1\right)}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o a^{2}+1 me \left(a-1\right)\left(a^{2}+1\right) ko \left(a-1\right)\left(a^{2}+1\right). Whakareatia \frac{a^{2}-a}{a^{2}+1} ki te \frac{a-1}{a-1}.

$$\frac{\left(a^{2}-a\right)\left(a-1\right)}{\left(a-1\right)\left(a^{2}+1\right)}+\frac{2a^{2}}{\left(a-1\right)\left(a^{2}+1\right)}$$

Tā te mea he rite te tauraro o \frac{\left(a^{2}-a\right)\left(a-1\right)}{\left(a-1\right)\left(a^{2}+1\right)} me \frac{2a^{2}}{\left(a-1\right)\left(a^{2}+1\right)}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\left(a^{2}-a\right)\left(a-1\right)+2a^{2}}{\left(a-1\right)\left(a^{2}+1\right)}$$

Mahia ngā whakarea i roto o \left(a^{2}-a\right)\left(a-1\right)+2a^{2}.

$$\frac{a^{3}-a^{2}-a^{2}+a+2a^{2}}{\left(a-1\right)\left(a^{2}+1\right)}$$

Whakakotahitia ngā kupu rite i a^{3}-a^{2}-a^{2}+a+2a^{2}.

$$\frac{a^{3}+a}{\left(a-1\right)\left(a^{2}+1\right)}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{a^{3}+a}{\left(a-1\right)\left(a^{2}+1\right)}.

$$\frac{a\left(a^{2}+1\right)}{\left(a-1\right)\left(a^{2}+1\right)}$$

Me whakakore tahi te a^{2}+1 i te taurunga me te tauraro.

$$\frac{a}{a-1}$$