Whakaoti i te (x-y/x^2-2xy+y^2-x/x^2-2xy)divy/x-2y

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

Aromātai

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

Ngā Hipanga Rongoā Poto

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{x-y}{x^{2}-2xy+y^{2}}.

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

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

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

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{x}{x^{2}-2xy}.

$$\frac{\frac{1}{x-y}-\frac{x}{x\left(x-2y\right)}}{\frac{y}{x-2y}}$$

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

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

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

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

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

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

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

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

Whakakotahitia ngā kupu rite i x-2y-x+y.

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

Whakawehe \frac{-y}{\left(x-2y\right)\left(x-y\right)} ki te \frac{y}{x-2y} mā te whakarea \frac{-y}{\left(x-2y\right)\left(x-y\right)} ki te tau huripoki o \frac{y}{x-2y}.

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

Me whakakore tahi te y\left(x-2y\right) 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 i roto o \frac{x-y}{x^{2}-2xy+y^{2}}.

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

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

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

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{x}{x^{2}-2xy}.

$$\frac{\frac{1}{x-y}-\frac{x}{x\left(x-2y\right)}}{\frac{y}{x-2y}}$$

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

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

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

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

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

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

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

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

Whakakotahitia ngā kupu rite i x-2y-x+y.

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

Whakawehe \frac{-y}{\left(x-2y\right)\left(x-y\right)} ki te \frac{y}{x-2y} mā te whakarea \frac{-y}{\left(x-2y\right)\left(x-y\right)} ki te tau huripoki o \frac{y}{x-2y}.

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

Me whakakore tahi te y\left(x-2y\right) i te taurunga me te tauraro.

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