Whakaoti i te 2y-6/y^2-9-y/y-1+y^2+2/y^2+2y-3

$$\frac { 2 y - 6 } { y ^ { 2 } - 9 } - \frac { y } { y - 1 } + \frac { y ^ { 2 } + 2 } { y ^ { 2 } + 2 y - 3 }$$

Aromātai

$$-\frac{y}{\left(y-1\right)\left(y+3\right)}$$

Ngā Hipanga Rongoā Poto

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{2y-6}{y^{2}-9}.

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

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

$$\frac{2}{y+3}-\frac{y}{y-1}+\frac{y^{2}+2}{y^{2}+2y-3}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o y+3 me y-1 ko \left(y-1\right)\left(y+3\right). Whakareatia \frac{2}{y+3} ki te \frac{y-1}{y-1}. Whakareatia \frac{y}{y-1} ki te \frac{y+3}{y+3}.

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

Tā te mea he rite te tauraro o \frac{2\left(y-1\right)}{\left(y-1\right)\left(y+3\right)} me \frac{y\left(y+3\right)}{\left(y-1\right)\left(y+3\right)}, me tango rāua mā te tango i ō raua taurunga.

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

Mahia ngā whakarea i roto o 2\left(y-1\right)-y\left(y+3\right).

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

Whakakotahitia ngā kupu rite i 2y-2-y^{2}-3y.

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

Tauwehea te y^{2}+2y-3.

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

Tā te mea he rite te tauraro o \frac{-y-2-y^{2}}{\left(y-1\right)\left(y+3\right)} me \frac{y^{2}+2}{\left(y-1\right)\left(y+3\right)}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

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

Whakakotahitia ngā kupu rite i -y-2-y^{2}+y^{2}+2.

$$\frac{-y}{\left(y-1\right)\left(y+3\right)}$$

Whakarohaina te \left(y-1\right)\left(y+3\right).

$$\frac{-y}{y^{2}+2y-3}$$

Whakaroha

$$-\frac{y}{\left(y-1\right)\left(y+3\right)}$$

Ngā Hipanga Rongoā Poto

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{2y-6}{y^{2}-9}.

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

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

$$\frac{2}{y+3}-\frac{y}{y-1}+\frac{y^{2}+2}{y^{2}+2y-3}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o y+3 me y-1 ko \left(y-1\right)\left(y+3\right). Whakareatia \frac{2}{y+3} ki te \frac{y-1}{y-1}. Whakareatia \frac{y}{y-1} ki te \frac{y+3}{y+3}.

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

Tā te mea he rite te tauraro o \frac{2\left(y-1\right)}{\left(y-1\right)\left(y+3\right)} me \frac{y\left(y+3\right)}{\left(y-1\right)\left(y+3\right)}, me tango rāua mā te tango i ō raua taurunga.

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

Mahia ngā whakarea i roto o 2\left(y-1\right)-y\left(y+3\right).

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

Whakakotahitia ngā kupu rite i 2y-2-y^{2}-3y.

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

Tauwehea te y^{2}+2y-3.

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

Tā te mea he rite te tauraro o \frac{-y-2-y^{2}}{\left(y-1\right)\left(y+3\right)} me \frac{y^{2}+2}{\left(y-1\right)\left(y+3\right)}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

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

Whakakotahitia ngā kupu rite i -y-2-y^{2}+y^{2}+2.

$$\frac{-y}{\left(y-1\right)\left(y+3\right)}$$

Whakarohaina te \left(y-1\right)\left(y+3\right).

$$\frac{-y}{y^{2}+2y-3}$$