Whakaoti i te 6a/a-5-3/6a-6

$$\frac { 6 a } { a - 5 } - \frac { 3 } { 6 a - 6 }$$

Aromātai

$$\frac{12a^{2}-13a+5}{2\left(a-5\right)\left(a-1\right)}$$

Ngā Hipanga Rongoā Poto

Tauwehea te 6a-6.

$$\frac{6a}{a-5}-\frac{3}{6\left(a-1\right)}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o a-5 me 6\left(a-1\right) ko 6\left(a-5\right)\left(a-1\right). Whakareatia \frac{6a}{a-5} ki te \frac{6\left(a-1\right)}{6\left(a-1\right)}. Whakareatia \frac{3}{6\left(a-1\right)} ki te \frac{a-5}{a-5}.

$$\frac{6a\times 6\left(a-1\right)}{6\left(a-5\right)\left(a-1\right)}-\frac{3\left(a-5\right)}{6\left(a-5\right)\left(a-1\right)}$$

Tā te mea he rite te tauraro o \frac{6a\times 6\left(a-1\right)}{6\left(a-5\right)\left(a-1\right)} me \frac{3\left(a-5\right)}{6\left(a-5\right)\left(a-1\right)}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{6a\times 6\left(a-1\right)-3\left(a-5\right)}{6\left(a-5\right)\left(a-1\right)}$$

Mahia ngā whakarea i roto o 6a\times 6\left(a-1\right)-3\left(a-5\right).

$$\frac{36a^{2}-36a-3a+15}{6\left(a-5\right)\left(a-1\right)}$$

Whakakotahitia ngā kupu rite i 36a^{2}-36a-3a+15.

$$\frac{36a^{2}-39a+15}{6\left(a-5\right)\left(a-1\right)}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{36a^{2}-39a+15}{6\left(a-5\right)\left(a-1\right)}.

$$\frac{3\left(12a^{2}-13a+5\right)}{6\left(a-5\right)\left(a-1\right)}$$

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

$$\frac{12a^{2}-13a+5}{2\left(a-5\right)\left(a-1\right)}$$

Whakarohaina te 2\left(a-5\right)\left(a-1\right).

$$\frac{12a^{2}-13a+5}{2a^{2}-12a+10}$$

Tauwehe

$$\frac{12a^{2}-13a+5}{2\left(a-5\right)\left(a-1\right)}$$