Whakaoti i te a/1-a^2+a/1+a^2=

$$\frac { a } { 1 - a ^ { 2 } } + \frac { a } { 1 + a ^ { 2 } } =$$

Aromātai

$$\frac{2a}{1-a^{4}}$$

Ngā Hipanga Rongoā Poto

Tauwehea te 1-a^{2}.

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

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

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

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

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

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

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

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

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

Whakarohaina te \left(a-1\right)\left(-a-1\right)\left(a^{2}+1\right).

$$\frac{2a}{-a^{4}+1}$$

Tauwehe

$$\frac{2a}{1-a^{4}}$$