Réitigh 7/9x^2+x/3x^2+3x

$$\frac { 7 } { 9 x ^ { 2 } } + \frac { x } { 3 x ^ { 2 } + 3 x }$$

Luacháil

$$\frac{3x^{2}+7x+7}{9\left(x+1\right)x^{2}}$$

Céimeanna gearra réitigh

Fachtóirigh na sloinn nach bhfuil fachtóirithe cheana in \frac{x}{3x^{2}+3x}.

$$\frac{7}{9x^{2}}+\frac{x}{3x\left(x+1\right)}$$

Cealaigh x mar uimhreoir agus ainmneoir.

$$\frac{7}{9x^{2}}+\frac{1}{3\left(x+1\right)}$$

Chun cothromóidí a shuimiú nó a dhealú, fairsingigh iad chun a n-ainmneoirí a mheaitseáil. Is é an t-iolrach is lú coitianta de 9x^{2} agus 3\left(x+1\right) ná 9\left(x+1\right)x^{2}. Méadaigh \frac{7}{9x^{2}} faoi \frac{x+1}{x+1}. Méadaigh \frac{1}{3\left(x+1\right)} faoi \frac{3x^{2}}{3x^{2}}.

$$\frac{7\left(x+1\right)}{9\left(x+1\right)x^{2}}+\frac{3x^{2}}{9\left(x+1\right)x^{2}}$$

Tá an t-ainmneoir céanna ag \frac{7\left(x+1\right)}{9\left(x+1\right)x^{2}} agus \frac{3x^{2}}{9\left(x+1\right)x^{2}} agus, mar sin, is féidir iad a shuimiú trína n-uimhreoirí a shuimiú.

$$\frac{7\left(x+1\right)+3x^{2}}{9\left(x+1\right)x^{2}}$$

Déan iolrúcháin in 7\left(x+1\right)+3x^{2}.

$$\frac{7x+7+3x^{2}}{9\left(x+1\right)x^{2}}$$

Fairsingigh 9\left(x+1\right)x^{2}

$$\frac{7x+7+3x^{2}}{9x^{3}+9x^{2}}$$

Fachtóirigh

$$\frac{3x^{2}+7x+7}{9\left(x+1\right)x^{2}}$$