Réitigh -1/left(2-yright)^2-1/y^2

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

Luacháil

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

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

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

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

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

Déan iolrúcháin in -y^{2}-\left(-y+2\right)^{2}.

$$\frac{-y^{2}-y^{2}+4y-4}{y^{2}\left(-y+2\right)^{2}}$$

Cumaisc téarmaí comhchosúla in: -y^{2}-y^{2}+4y-4.

$$\frac{-2y^{2}+4y-4}{y^{2}\left(-y+2\right)^{2}}$$

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

$$\frac{-2y^{2}+4y-4}{y^{4}-4y^{3}+4y^{2}}$$

Fairsingigh

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

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

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

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

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

Déan iolrúcháin in -y^{2}-\left(-y+2\right)^{2}.

$$\frac{-y^{2}-y^{2}+4y-4}{y^{2}\left(-y+2\right)^{2}}$$

Cumaisc téarmaí comhchosúla in: -y^{2}-y^{2}+4y-4.

$$\frac{-2y^{2}+4y-4}{y^{2}\left(-y+2\right)^{2}}$$

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

$$\frac{-2y^{2}+4y-4}{y^{4}-4y^{3}+4y^{2}}$$