Réitigh 2/x(x-1)-5/x^2(x-1)+3/(x-1)(x+1)

$$\frac { 2 } { x ( x - 1 ) } - \frac { 5 } { x ^ { 2 } ( x - 1 ) } + \frac { 3 } { ( x - 1 ) ( x + 1 ) }$$

Luacháil

$$\frac{5x^{2}-3x-5}{x^{2}\left(x^{2}-1\right)}$$

Céimeanna gearra réitigh

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\left(x-1\right) agus x^{2}\left(x-1\right) ná \left(x-1\right)x^{2}. Méadaigh \frac{2}{x\left(x-1\right)} faoi \frac{x}{x}.

$$\frac{2x}{\left(x-1\right)x^{2}}-\frac{5}{\left(x-1\right)x^{2}}+\frac{3}{\left(x-1\right)\left(x+1\right)}$$

Tá an t-ainmneoir céanna ag \frac{2x}{\left(x-1\right)x^{2}} agus \frac{5}{\left(x-1\right)x^{2}} agus, mar sin, is féidir iad a dhealú trína n-uimhreoirí a dhealú.

$$\frac{2x-5}{\left(x-1\right)x^{2}}+\frac{3}{\left(x-1\right)\left(x+1\right)}$$

Chun cothromóidí a shuimiú nó a dhealú, fairsingigh iad chun a n-ainmneoirí a mheaitseáil. Is é an t-iolrach is lú coitianta de \left(x-1\right)x^{2} agus \left(x-1\right)\left(x+1\right) ná \left(x-1\right)\left(x+1\right)x^{2}. Méadaigh \frac{2x-5}{\left(x-1\right)x^{2}} faoi \frac{x+1}{x+1}. Méadaigh \frac{3}{\left(x-1\right)\left(x+1\right)} faoi \frac{x^{2}}{x^{2}}.

$$\frac{\left(2x-5\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)x^{2}}+\frac{3x^{2}}{\left(x-1\right)\left(x+1\right)x^{2}}$$

Tá an t-ainmneoir céanna ag \frac{\left(2x-5\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)x^{2}} agus \frac{3x^{2}}{\left(x-1\right)\left(x+1\right)x^{2}} agus, mar sin, is féidir iad a shuimiú trína n-uimhreoirí a shuimiú.

$$\frac{\left(2x-5\right)\left(x+1\right)+3x^{2}}{\left(x-1\right)\left(x+1\right)x^{2}}$$

Déan iolrúcháin in \left(2x-5\right)\left(x+1\right)+3x^{2}.

$$\frac{2x^{2}+2x-5x-5+3x^{2}}{\left(x-1\right)\left(x+1\right)x^{2}}$$

Cumaisc téarmaí comhchosúla in: 2x^{2}+2x-5x-5+3x^{2}.

$$\frac{5x^{2}-3x-5}{\left(x-1\right)\left(x+1\right)x^{2}}$$

Fairsingigh \left(x-1\right)\left(x+1\right)x^{2}

$$\frac{5x^{2}-3x-5}{x^{4}-x^{2}}$$

Fairsingigh

$$\frac{5x^{2}-3x-5}{x^{2}\left(x^{2}-1\right)}$$

Céimeanna gearra réitigh

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\left(x-1\right) agus x^{2}\left(x-1\right) ná \left(x-1\right)x^{2}. Méadaigh \frac{2}{x\left(x-1\right)} faoi \frac{x}{x}.

$$\frac{2x}{\left(x-1\right)x^{2}}-\frac{5}{\left(x-1\right)x^{2}}+\frac{3}{\left(x-1\right)\left(x+1\right)}$$

Tá an t-ainmneoir céanna ag \frac{2x}{\left(x-1\right)x^{2}} agus \frac{5}{\left(x-1\right)x^{2}} agus, mar sin, is féidir iad a dhealú trína n-uimhreoirí a dhealú.

$$\frac{2x-5}{\left(x-1\right)x^{2}}+\frac{3}{\left(x-1\right)\left(x+1\right)}$$

Chun cothromóidí a shuimiú nó a dhealú, fairsingigh iad chun a n-ainmneoirí a mheaitseáil. Is é an t-iolrach is lú coitianta de \left(x-1\right)x^{2} agus \left(x-1\right)\left(x+1\right) ná \left(x-1\right)\left(x+1\right)x^{2}. Méadaigh \frac{2x-5}{\left(x-1\right)x^{2}} faoi \frac{x+1}{x+1}. Méadaigh \frac{3}{\left(x-1\right)\left(x+1\right)} faoi \frac{x^{2}}{x^{2}}.

$$\frac{\left(2x-5\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)x^{2}}+\frac{3x^{2}}{\left(x-1\right)\left(x+1\right)x^{2}}$$

Tá an t-ainmneoir céanna ag \frac{\left(2x-5\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)x^{2}} agus \frac{3x^{2}}{\left(x-1\right)\left(x+1\right)x^{2}} agus, mar sin, is féidir iad a shuimiú trína n-uimhreoirí a shuimiú.

$$\frac{\left(2x-5\right)\left(x+1\right)+3x^{2}}{\left(x-1\right)\left(x+1\right)x^{2}}$$

Déan iolrúcháin in \left(2x-5\right)\left(x+1\right)+3x^{2}.

$$\frac{2x^{2}+2x-5x-5+3x^{2}}{\left(x-1\right)\left(x+1\right)x^{2}}$$

Cumaisc téarmaí comhchosúla in: 2x^{2}+2x-5x-5+3x^{2}.

$$\frac{5x^{2}-3x-5}{\left(x-1\right)\left(x+1\right)x^{2}}$$

Fairsingigh \left(x-1\right)\left(x+1\right)x^{2}

$$\frac{5x^{2}-3x-5}{x^{4}-x^{2}}$$