Réitigh 1/x-y+2x-y/x^2-y^2

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

Luacháil

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

Céimeanna gearra réitigh

Fachtóirigh x^{2}-y^{2}.

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

Chun cothromóidí a shuimiú nó a dhealú, fairsingigh iad chun a n-ainmneoirí a mheaitseáil. Is é an t-iolrach is lú coitianta de x-y agus \left(x+y\right)\left(x-y\right) ná \left(x+y\right)\left(x-y\right). Méadaigh \frac{1}{x-y} faoi \frac{x+y}{x+y}.

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

Tá an t-ainmneoir céanna ag \frac{x+y}{\left(x+y\right)\left(x-y\right)} agus \frac{2x-y}{\left(x+y\right)\left(x-y\right)} agus, mar sin, is féidir iad a shuimiú trína n-uimhreoirí a shuimiú.

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

Cumaisc téarmaí comhchosúla in: x+y+2x-y.

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

Fairsingigh \left(x+y\right)\left(x-y\right)

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

Fairsingigh

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

Céimeanna gearra réitigh

Fachtóirigh x^{2}-y^{2}.

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

Chun cothromóidí a shuimiú nó a dhealú, fairsingigh iad chun a n-ainmneoirí a mheaitseáil. Is é an t-iolrach is lú coitianta de x-y agus \left(x+y\right)\left(x-y\right) ná \left(x+y\right)\left(x-y\right). Méadaigh \frac{1}{x-y} faoi \frac{x+y}{x+y}.

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

Tá an t-ainmneoir céanna ag \frac{x+y}{\left(x+y\right)\left(x-y\right)} agus \frac{2x-y}{\left(x+y\right)\left(x-y\right)} agus, mar sin, is féidir iad a shuimiú trína n-uimhreoirí a shuimiú.

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

Cumaisc téarmaí comhchosúla in: x+y+2x-y.

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

Fairsingigh \left(x+y\right)\left(x-y\right)

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