Réitigh 6a/a-5-3/6a-6

$$\frac { 6 a } { a - 5 } - \frac { 3 } { 6 a - 6 }$$

Luacháil

$$\frac{12a^{2}-13a+5}{2\left(a-5\right)\left(a-1\right)}$$

Céimeanna gearra réitigh

Fachtóirigh 6a-6.

$$\frac{6a}{a-5}-\frac{3}{6\left(a-1\right)}$$

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-5 agus 6\left(a-1\right) ná 6\left(a-5\right)\left(a-1\right). Méadaigh \frac{6a}{a-5} faoi \frac{6\left(a-1\right)}{6\left(a-1\right)}. Méadaigh \frac{3}{6\left(a-1\right)} faoi \frac{a-5}{a-5}.

$$\frac{6a\times 6\left(a-1\right)}{6\left(a-5\right)\left(a-1\right)}-\frac{3\left(a-5\right)}{6\left(a-5\right)\left(a-1\right)}$$

Tá an t-ainmneoir céanna ag \frac{6a\times 6\left(a-1\right)}{6\left(a-5\right)\left(a-1\right)} agus \frac{3\left(a-5\right)}{6\left(a-5\right)\left(a-1\right)} agus, mar sin, is féidir iad a dhealú trína n-uimhreoirí a dhealú.

$$\frac{6a\times 6\left(a-1\right)-3\left(a-5\right)}{6\left(a-5\right)\left(a-1\right)}$$

Déan iolrúcháin in 6a\times 6\left(a-1\right)-3\left(a-5\right).

$$\frac{36a^{2}-36a-3a+15}{6\left(a-5\right)\left(a-1\right)}$$

Cumaisc téarmaí comhchosúla in: 36a^{2}-36a-3a+15.

$$\frac{36a^{2}-39a+15}{6\left(a-5\right)\left(a-1\right)}$$

Fachtóirigh na sloinn nach bhfuil fachtóirithe cheana in \frac{36a^{2}-39a+15}{6\left(a-5\right)\left(a-1\right)}.

$$\frac{3\left(12a^{2}-13a+5\right)}{6\left(a-5\right)\left(a-1\right)}$$

Cealaigh 3 mar uimhreoir agus ainmneoir.

$$\frac{12a^{2}-13a+5}{2\left(a-5\right)\left(a-1\right)}$$

Fairsingigh 2\left(a-5\right)\left(a-1\right)

$$\frac{12a^{2}-13a+5}{2a^{2}-12a+10}$$

Fachtóirigh

$$\frac{12a^{2}-13a+5}{2\left(a-5\right)\left(a-1\right)}$$