Réitigh a/a+1-a^2/a^2-1

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

Luacháil

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

Céimeanna gearra réitigh

Fachtóirigh a^{2}-1.

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

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

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

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

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

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

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

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

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

Fairsingigh \left(a-1\right)\left(a+1\right)

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

Fachtóirigh

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