Réitigh a^2/a+1-a^3/a^2+2a+1

$$\frac { a ^ { 2 } } { a + 1 } - \frac { a ^ { 3 } } { a ^ { 2 } + 2 a + 1 }$$

Luacháil

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

Céimeanna gearra réitigh

Fachtóirigh a^{2}+2a+1.

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

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

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

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

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

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

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

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

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

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

$$\frac{a^{2}}{a^{2}+2a+1}$$

Fachtóirigh

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