Réitigh =1/r^2-1/(r-1)^2

$$= \frac { 1 } { r ^ { 2 } } - \frac { 1 } { ( r - 1 ) ^ { 2 } }$$

Luacháil

$$-\frac{2r-1}{\left(r\left(r-1\right)\right)^{2}}$$

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

$$\frac{\left(r-1\right)^{2}}{r^{2}\left(r-1\right)^{2}}-\frac{r^{2}}{r^{2}\left(r-1\right)^{2}}$$

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

$$\frac{\left(r-1\right)^{2}-r^{2}}{r^{2}\left(r-1\right)^{2}}$$

Déan iolrúcháin in \left(r-1\right)^{2}-r^{2}.

$$\frac{r^{2}-2r+1-r^{2}}{r^{2}\left(r-1\right)^{2}}$$

Cumaisc téarmaí comhchosúla in: r^{2}-2r+1-r^{2}.

$$\frac{-2r+1}{r^{2}\left(r-1\right)^{2}}$$

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

$$\frac{-2r+1}{r^{4}-2r^{3}+r^{2}}$$

Fairsingigh

$$\frac{1-2r}{\left(r\left(r-1\right)\right)^{2}}$$

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

$$\frac{\left(r-1\right)^{2}}{r^{2}\left(r-1\right)^{2}}-\frac{r^{2}}{r^{2}\left(r-1\right)^{2}}$$

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

$$\frac{\left(r-1\right)^{2}-r^{2}}{r^{2}\left(r-1\right)^{2}}$$

Déan iolrúcháin in \left(r-1\right)^{2}-r^{2}.

$$\frac{r^{2}-2r+1-r^{2}}{r^{2}\left(r-1\right)^{2}}$$

Cumaisc téarmaí comhchosúla in: r^{2}-2r+1-r^{2}.

$$\frac{-2r+1}{r^{2}\left(r-1\right)^{2}}$$

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

$$\frac{-2r+1}{r^{4}-2r^{3}+r^{2}}$$