Whakaoti i te 3/a+b+2/a-b-1/a^2-b^2=

$$\frac { 3 } { a + b } + \frac { 2 } { a - b } - \frac { 1 } { a ^ { 2 } - b ^ { 2 } } =$$

Aromātai

$$\frac{5a-b-1}{a^{2}-b^{2}}$$

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{3}{a+b} ki te \frac{a-b}{a-b}. Whakareatia \frac{2}{a-b} ki te \frac{a+b}{a+b}.

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

Tā te mea he rite te tauraro o \frac{3\left(a-b\right)}{\left(a+b\right)\left(a-b\right)} me \frac{2\left(a+b\right)}{\left(a+b\right)\left(a-b\right)}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

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

Mahia ngā whakarea i roto o 3\left(a-b\right)+2\left(a+b\right).

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

Whakakotahitia ngā kupu rite i 3a-3b+2a+2b.

$$\frac{5a-b}{\left(a+b\right)\left(a-b\right)}-\frac{1}{a^{2}-b^{2}}$$

Tauwehea te a^{2}-b^{2}.

$$\frac{5a-b}{\left(a+b\right)\left(a-b\right)}-\frac{1}{\left(a+b\right)\left(a-b\right)}$$

Tā te mea he rite te tauraro o \frac{5a-b}{\left(a+b\right)\left(a-b\right)} me \frac{1}{\left(a+b\right)\left(a-b\right)}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{5a-b-1}{\left(a+b\right)\left(a-b\right)}$$

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

$$\frac{5a-b-1}{a^{2}-b^{2}}$$

Kimi Pārōnaki e ai ki a

$$\frac{2a-5b^{2}+2ab-5a^{2}}{\left(a^{2}-b^{2}\right)^{2}}$$