Whakaoti i te frac{x^{2}}{x^{2}-y^2}-x/x+y+y/2x-2y-y^2/2x^2-2y^2

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

Aromātai

$$\frac{3xy}{2\left(x^{2}-y^{2}\right)}$$

Ngā Hipanga Rongoā Poto

Tauwehea te x^{2}-y^{2}.

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

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

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

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

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

Mahia ngā whakarea i roto o x^{2}-x\left(x-y\right).

$$\frac{x^{2}-x^{2}+xy}{\left(x+y\right)\left(x-y\right)}+\frac{y}{2x-2y}-\frac{y^{2}}{2x^{2}-2y^{2}}$$

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

$$\frac{xy}{\left(x+y\right)\left(x-y\right)}+\frac{y}{2x-2y}-\frac{y^{2}}{2x^{2}-2y^{2}}$$

Tauwehea te 2x-2y.

$$\frac{xy}{\left(x+y\right)\left(x-y\right)}+\frac{y}{2\left(x-y\right)}-\frac{y^{2}}{2x^{2}-2y^{2}}$$

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

$$\frac{2xy}{2\left(x+y\right)\left(x-y\right)}+\frac{y\left(x+y\right)}{2\left(x+y\right)\left(x-y\right)}-\frac{y^{2}}{2x^{2}-2y^{2}}$$

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

$$\frac{2xy+y\left(x+y\right)}{2\left(x+y\right)\left(x-y\right)}-\frac{y^{2}}{2x^{2}-2y^{2}}$$

Mahia ngā whakarea i roto o 2xy+y\left(x+y\right).

$$\frac{2xy+xy+y^{2}}{2\left(x+y\right)\left(x-y\right)}-\frac{y^{2}}{2x^{2}-2y^{2}}$$

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

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

Tauwehea te 2x^{2}-2y^{2}.

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

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

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

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

$$\frac{3xy}{2\left(x+y\right)\left(x-y\right)}$$

Whakarohaina te 2\left(x+y\right)\left(x-y\right).

$$\frac{3xy}{2x^{2}-2y^{2}}$$

Tauwehe

$$\frac{3xy}{2\left(x^{2}-y^{2}\right)}$$