Whakaoti i te x^2/x-y*(1/x-1/y)

$$\frac { x ^ { 2 } } { x - y } \cdot ( \frac { 1 } { x } - \frac { 1 } { y } )$$

Aromātai

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

Ngā Upane Otinga

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o x me y ko xy. Whakareatia \frac{1}{x} ki te \frac{y}{y}. Whakareatia \frac{1}{y} ki te \frac{x}{x}.

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

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

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

Me whakarea te \frac{x^{2}}{x-y} ki te \frac{y-x}{xy} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

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

Unuhia te tohu tōraro i roto o y-x.

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

Me whakakore tahi te x\left(x-y\right) i te taurunga me te tauraro.

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

Whakaroha

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

Ngā Upane Otinga

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o x me y ko xy. Whakareatia \frac{1}{x} ki te \frac{y}{y}. Whakareatia \frac{1}{y} ki te \frac{x}{x}.

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

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

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

Me whakarea te \frac{x^{2}}{x-y} ki te \frac{y-x}{xy} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

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

Unuhia te tohu tōraro i roto o y-x.

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

Me whakakore tahi te x\left(x-y\right) i te taurunga me te tauraro.

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