Whakaoti i te x^-1+y^-1/x^-1y-y^-1x

$$\frac { x ^ { - 1 } + y ^ { - 1 } } { x ^ { - 1 } y - y ^ { - 1 } x }$$

Aromātai

$$-\frac{1}{x-y}$$

Ngā Hipanga Rongoā Poto

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea.

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

Me whakakore tahi te \frac{1}{x} i te taurunga me te tauraro.

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

Me whakaroha te kīanga.

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

Tuhia te \frac{1}{y}x hei hautanga kotahi.

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

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 1 ki te \frac{y}{y}.

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

Tā te mea he rite te tauraro o \frac{y}{y} me \frac{x}{y}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

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

Tuhia te \frac{1}{y}x^{2} hei hautanga kotahi.

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

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia y ki te \frac{y}{y}.

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

Tā te mea he rite te tauraro o -\frac{x^{2}}{y} me \frac{yy}{y}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

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

Mahia ngā whakarea i roto o -x^{2}+yy.

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

Whakawehe \frac{y+x}{y} ki te \frac{-x^{2}+y^{2}}{y} mā te whakarea \frac{y+x}{y} ki te tau huripoki o \frac{-x^{2}+y^{2}}{y}.

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

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

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

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea.

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

Unuhia te tohu tōraro i roto o y+x.

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

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

$$\frac{-1}{x-y}$$

Whakaroha

$$\frac{1}{y-x}$$

Ngā Hipanga Rongoā Poto

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea.

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

Me whakakore tahi te \frac{1}{x} i te taurunga me te tauraro.

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

Me whakaroha te kīanga.

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

Tuhia te \frac{1}{y}x hei hautanga kotahi.

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

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 1 ki te \frac{y}{y}.

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

Tā te mea he rite te tauraro o \frac{y}{y} me \frac{x}{y}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

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

Tuhia te \frac{1}{y}x^{2} hei hautanga kotahi.

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

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia y ki te \frac{y}{y}.

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

Tā te mea he rite te tauraro o -\frac{x^{2}}{y} me \frac{yy}{y}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

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

Mahia ngā whakarea i roto o -x^{2}+yy.

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

Whakawehe \frac{y+x}{y} ki te \frac{-x^{2}+y^{2}}{y} mā te whakarea \frac{y+x}{y} ki te tau huripoki o \frac{-x^{2}+y^{2}}{y}.

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

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

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

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea.

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

Unuhia te tohu tōraro i roto o y+x.

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

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

$$\frac{-1}{x-y}$$