Whakaoti i te a/a+b+b/a-b

$$\frac { a } { a + b } + \frac { b } { a - b }$$

Aromātai

$$\frac{a^{2}+b^{2}}{a^{2}-b^{2}}$$

Ngā Hipanga Rongoā Poto

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

$$\frac{a\left(a-b\right)}{\left(a+b\right)\left(a-b\right)}+\frac{b\left(a+b\right)}{\left(a+b\right)\left(a-b\right)}$$

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

$$\frac{a\left(a-b\right)+b\left(a+b\right)}{\left(a+b\right)\left(a-b\right)}$$

Mahia ngā whakarea i roto o a\left(a-b\right)+b\left(a+b\right).

$$\frac{a^{2}-ab+ba+b^{2}}{\left(a+b\right)\left(a-b\right)}$$

Whakakotahitia ngā kupu rite i a^{2}-ab+ba+b^{2}.

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

Whakarohaina te \left(a+b\right)\left(a-b\right).

$$\frac{a^{2}+b^{2}}{a^{2}-b^{2}}$$

Kimi Pārōnaki e ai ki a

$$-4\times \left(\frac{b}{a^{2}-b^{2}}\right)^{2}a$$