Whakaoti i te 4v/v^2-10v+21-3v/v^2-11v+28

$$\frac { 4 v } { v ^ { 2 } - 10 v + 21 } - \frac { 3 v } { v ^ { 2 } - 11 v + 28 }$$

Aromātai

$$\frac{v}{\left(v-4\right)\left(v-3\right)}$$

Ngā Hipanga Rongoā Poto

Tauwehea te v^{2}-10v+21. Tauwehea te v^{2}-11v+28.

$$\frac{4v}{\left(v-7\right)\left(v-3\right)}-\frac{3v}{\left(v-7\right)\left(v-4\right)}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o \left(v-7\right)\left(v-3\right) me \left(v-7\right)\left(v-4\right) ko \left(v-7\right)\left(v-4\right)\left(v-3\right). Whakareatia \frac{4v}{\left(v-7\right)\left(v-3\right)} ki te \frac{v-4}{v-4}. Whakareatia \frac{3v}{\left(v-7\right)\left(v-4\right)} ki te \frac{v-3}{v-3}.

$$\frac{4v\left(v-4\right)}{\left(v-7\right)\left(v-4\right)\left(v-3\right)}-\frac{3v\left(v-3\right)}{\left(v-7\right)\left(v-4\right)\left(v-3\right)}$$

Tā te mea he rite te tauraro o \frac{4v\left(v-4\right)}{\left(v-7\right)\left(v-4\right)\left(v-3\right)} me \frac{3v\left(v-3\right)}{\left(v-7\right)\left(v-4\right)\left(v-3\right)}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{4v\left(v-4\right)-3v\left(v-3\right)}{\left(v-7\right)\left(v-4\right)\left(v-3\right)}$$

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

$$\frac{4v^{2}-16v-3v^{2}+9v}{\left(v-7\right)\left(v-4\right)\left(v-3\right)}$$

Whakakotahitia ngā kupu rite i 4v^{2}-16v-3v^{2}+9v.

$$\frac{v^{2}-7v}{\left(v-7\right)\left(v-4\right)\left(v-3\right)}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{v^{2}-7v}{\left(v-7\right)\left(v-4\right)\left(v-3\right)}.

$$\frac{v\left(v-7\right)}{\left(v-7\right)\left(v-4\right)\left(v-3\right)}$$

Me whakakore tahi te v-7 i te taurunga me te tauraro.

$$\frac{v}{\left(v-4\right)\left(v-3\right)}$$

Whakarohaina te \left(v-4\right)\left(v-3\right).

$$\frac{v}{v^{2}-7v+12}$$

Tauwehe

$$\frac{v}{\left(v-4\right)\left(v-3\right)}$$