Réitigh m-2/m^2+2m-m-1/m^2+4m+4

$$\frac { m - 2 } { m ^ { 2 } + 2 m } - \frac { m - 1 } { m ^ { 2 } + 4 m + 4 }$$

Luacháil

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

Céimeanna gearra réitigh

Fachtóirigh m^{2}+2m. Fachtóirigh m^{2}+4m+4.

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

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

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

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

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

Déan iolrúcháin in \left(m-2\right)\left(m+2\right)-\left(m-1\right)m.

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

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

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

Fairsingigh m\left(m+2\right)^{2}

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

Fairsingigh

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

Céimeanna gearra réitigh

Fachtóirigh m^{2}+2m. Fachtóirigh m^{2}+4m+4.

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

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

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

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

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

Déan iolrúcháin in \left(m-2\right)\left(m+2\right)-\left(m-1\right)m.

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

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

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

Fairsingigh m\left(m+2\right)^{2}

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