Whakaoti i te 4/a-3+3/a+3-24/a^2-9

$$\frac{ 4 }{ a-3 } + \frac{ 3 }{ a+3 } - \frac{ 24 }{ { a }^{ 2 } -9 }$$

Aromātai

$$\frac{7}{a+3}$$

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-3 me a+3 ko \left(a-3\right)\left(a+3\right). Whakareatia \frac{4}{a-3} ki te \frac{a+3}{a+3}. Whakareatia \frac{3}{a+3} ki te \frac{a-3}{a-3}.

$$\frac{4\left(a+3\right)}{\left(a-3\right)\left(a+3\right)}+\frac{3\left(a-3\right)}{\left(a-3\right)\left(a+3\right)}-\frac{24}{a^{2}-9}$$

Tā te mea he rite te tauraro o \frac{4\left(a+3\right)}{\left(a-3\right)\left(a+3\right)} me \frac{3\left(a-3\right)}{\left(a-3\right)\left(a+3\right)}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{4\left(a+3\right)+3\left(a-3\right)}{\left(a-3\right)\left(a+3\right)}-\frac{24}{a^{2}-9}$$

Mahia ngā whakarea i roto o 4\left(a+3\right)+3\left(a-3\right).

$$\frac{4a+12+3a-9}{\left(a-3\right)\left(a+3\right)}-\frac{24}{a^{2}-9}$$

Whakakotahitia ngā kupu rite i 4a+12+3a-9.

$$\frac{7a+3}{\left(a-3\right)\left(a+3\right)}-\frac{24}{a^{2}-9}$$

Tauwehea te a^{2}-9.

$$\frac{7a+3}{\left(a-3\right)\left(a+3\right)}-\frac{24}{\left(a-3\right)\left(a+3\right)}$$

Tā te mea he rite te tauraro o \frac{7a+3}{\left(a-3\right)\left(a+3\right)} me \frac{24}{\left(a-3\right)\left(a+3\right)}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{7a+3-24}{\left(a-3\right)\left(a+3\right)}$$

Whakakotahitia ngā kupu rite i 7a+3-24.

$$\frac{7a-21}{\left(a-3\right)\left(a+3\right)}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{7a-21}{\left(a-3\right)\left(a+3\right)}.

$$\frac{7\left(a-3\right)}{\left(a-3\right)\left(a+3\right)}$$

Me whakakore tahi te a-3 i te taurunga me te tauraro.

$$\frac{7}{a+3}$$

Kimi Pārōnaki e ai ki a

$$-\frac{7}{\left(a+3\right)^{2}}$$