Réitigh 9y+3/y^2-11y+18+y+3/y-9

$$\frac { 9 y + 3 } { y ^ { 2 } - 11 y + 18 } + \frac { y + 3 } { y - 9 }$$

Luacháil

$$\frac{y^{2}+10y-3}{\left(y-9\right)\left(y-2\right)}$$

Céimeanna gearra réitigh

Fachtóirigh y^{2}-11y+18.

$$\frac{9y+3}{\left(y-9\right)\left(y-2\right)}+\frac{y+3}{y-9}$$

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(y-9\right)\left(y-2\right) agus y-9 ná \left(y-9\right)\left(y-2\right). Méadaigh \frac{y+3}{y-9} faoi \frac{y-2}{y-2}.

$$\frac{9y+3}{\left(y-9\right)\left(y-2\right)}+\frac{\left(y+3\right)\left(y-2\right)}{\left(y-9\right)\left(y-2\right)}$$

Tá an t-ainmneoir céanna ag \frac{9y+3}{\left(y-9\right)\left(y-2\right)} agus \frac{\left(y+3\right)\left(y-2\right)}{\left(y-9\right)\left(y-2\right)} agus, mar sin, is féidir iad a shuimiú trína n-uimhreoirí a shuimiú.

$$\frac{9y+3+\left(y+3\right)\left(y-2\right)}{\left(y-9\right)\left(y-2\right)}$$

Déan iolrúcháin in 9y+3+\left(y+3\right)\left(y-2\right).

$$\frac{9y+3+y^{2}-2y+3y-6}{\left(y-9\right)\left(y-2\right)}$$

Cumaisc téarmaí comhchosúla in: 9y+3+y^{2}-2y+3y-6.

$$\frac{10y-3+y^{2}}{\left(y-9\right)\left(y-2\right)}$$

Fairsingigh \left(y-9\right)\left(y-2\right)

$$\frac{10y-3+y^{2}}{y^{2}-11y+18}$$

Fairsingigh

$$\frac{y^{2}+10y-3}{\left(y-9\right)\left(y-2\right)}$$

Céimeanna gearra réitigh

Fachtóirigh y^{2}-11y+18.

$$\frac{9y+3}{\left(y-9\right)\left(y-2\right)}+\frac{y+3}{y-9}$$

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(y-9\right)\left(y-2\right) agus y-9 ná \left(y-9\right)\left(y-2\right). Méadaigh \frac{y+3}{y-9} faoi \frac{y-2}{y-2}.

$$\frac{9y+3}{\left(y-9\right)\left(y-2\right)}+\frac{\left(y+3\right)\left(y-2\right)}{\left(y-9\right)\left(y-2\right)}$$

Tá an t-ainmneoir céanna ag \frac{9y+3}{\left(y-9\right)\left(y-2\right)} agus \frac{\left(y+3\right)\left(y-2\right)}{\left(y-9\right)\left(y-2\right)} agus, mar sin, is féidir iad a shuimiú trína n-uimhreoirí a shuimiú.

$$\frac{9y+3+\left(y+3\right)\left(y-2\right)}{\left(y-9\right)\left(y-2\right)}$$

Déan iolrúcháin in 9y+3+\left(y+3\right)\left(y-2\right).

$$\frac{9y+3+y^{2}-2y+3y-6}{\left(y-9\right)\left(y-2\right)}$$

Cumaisc téarmaí comhchosúla in: 9y+3+y^{2}-2y+3y-6.

$$\frac{10y-3+y^{2}}{\left(y-9\right)\left(y-2\right)}$$

Fairsingigh \left(y-9\right)\left(y-2\right)

$$\frac{10y-3+y^{2}}{y^{2}-11y+18}$$