Whakaoti i te 8y/y+7+y/y-7

$$\frac { 8 y } { y + 7 } + \frac { y } { y - 7 }$$

Aromātai

$$\frac{y\left(9y-49\right)}{y^{2}-49}$$

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 y+7 me y-7 ko \left(y-7\right)\left(y+7\right). Whakareatia \frac{8y}{y+7} ki te \frac{y-7}{y-7}. Whakareatia \frac{y}{y-7} ki te \frac{y+7}{y+7}.

$$\frac{8y\left(y-7\right)}{\left(y-7\right)\left(y+7\right)}+\frac{y\left(y+7\right)}{\left(y-7\right)\left(y+7\right)}$$

Tā te mea he rite te tauraro o \frac{8y\left(y-7\right)}{\left(y-7\right)\left(y+7\right)} me \frac{y\left(y+7\right)}{\left(y-7\right)\left(y+7\right)}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{8y\left(y-7\right)+y\left(y+7\right)}{\left(y-7\right)\left(y+7\right)}$$

Mahia ngā whakarea i roto o 8y\left(y-7\right)+y\left(y+7\right).

$$\frac{8y^{2}-56y+y^{2}+7y}{\left(y-7\right)\left(y+7\right)}$$

Whakakotahitia ngā kupu rite i 8y^{2}-56y+y^{2}+7y.

$$\frac{9y^{2}-49y}{\left(y-7\right)\left(y+7\right)}$$

Whakarohaina te \left(y-7\right)\left(y+7\right).

$$\frac{9y^{2}-49y}{y^{2}-49}$$

Tauwehe

$$\frac{y\left(9y-49\right)}{y^{2}-49}$$