Whakaoti i te 3/a-4+2/a+3-21/a^2-a-12

$$\frac { 3 } { a - 4 } + \frac { 2 } { a + 3 } - \frac { 21 } { a ^ { 2 } - a - 12 }$$

Aromātai

$$\frac{5}{a+3}$$

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-4 me a+3 ko \left(a-4\right)\left(a+3\right). Whakareatia \frac{3}{a-4} ki te \frac{a+3}{a+3}. Whakareatia \frac{2}{a+3} ki te \frac{a-4}{a-4}.

$$\frac{3\left(a+3\right)}{\left(a-4\right)\left(a+3\right)}+\frac{2\left(a-4\right)}{\left(a-4\right)\left(a+3\right)}-\frac{21}{a^{2}-a-12}$$

Tā te mea he rite te tauraro o \frac{3\left(a+3\right)}{\left(a-4\right)\left(a+3\right)} me \frac{2\left(a-4\right)}{\left(a-4\right)\left(a+3\right)}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{3\left(a+3\right)+2\left(a-4\right)}{\left(a-4\right)\left(a+3\right)}-\frac{21}{a^{2}-a-12}$$

Mahia ngā whakarea i roto o 3\left(a+3\right)+2\left(a-4\right).

$$\frac{3a+9+2a-8}{\left(a-4\right)\left(a+3\right)}-\frac{21}{a^{2}-a-12}$$

Whakakotahitia ngā kupu rite i 3a+9+2a-8.

$$\frac{5a+1}{\left(a-4\right)\left(a+3\right)}-\frac{21}{a^{2}-a-12}$$

Tauwehea te a^{2}-a-12.

$$\frac{5a+1}{\left(a-4\right)\left(a+3\right)}-\frac{21}{\left(a-4\right)\left(a+3\right)}$$

Tā te mea he rite te tauraro o \frac{5a+1}{\left(a-4\right)\left(a+3\right)} me \frac{21}{\left(a-4\right)\left(a+3\right)}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{5a+1-21}{\left(a-4\right)\left(a+3\right)}$$

Whakakotahitia ngā kupu rite i 5a+1-21.

$$\frac{5a-20}{\left(a-4\right)\left(a+3\right)}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{5a-20}{\left(a-4\right)\left(a+3\right)}.

$$\frac{5\left(a-4\right)}{\left(a-4\right)\left(a+3\right)}$$

Me whakakore tahi te a-4 i te taurunga me te tauraro.

$$\frac{5}{a+3}$$

Kimi Pārōnaki e ai ki a

$$-\frac{5}{\left(a+3\right)^{2}}$$