Réitigh 4-p/36-p^2+p+3/p-6

$$\frac { 4 - p } { 36 - p ^ { 2 } } + \frac { p + 3 } { p - 6 }$$

Luacháil

$$\frac{p^{2}+10p+14}{p^{2}-36}$$

Céimeanna gearra réitigh

Fachtóirigh 36-p^{2}.

$$\frac{4-p}{\left(p-6\right)\left(-p-6\right)}+\frac{p+3}{p-6}$$

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(p-6\right)\left(-p-6\right) agus p-6 ná \left(p-6\right)\left(-p-6\right). Méadaigh \frac{p+3}{p-6} faoi \frac{-p-6}{-p-6}.

$$\frac{4-p}{\left(p-6\right)\left(-p-6\right)}+\frac{\left(p+3\right)\left(-p-6\right)}{\left(p-6\right)\left(-p-6\right)}$$

Tá an t-ainmneoir céanna ag \frac{4-p}{\left(p-6\right)\left(-p-6\right)} agus \frac{\left(p+3\right)\left(-p-6\right)}{\left(p-6\right)\left(-p-6\right)} agus, mar sin, is féidir iad a shuimiú trína n-uimhreoirí a shuimiú.

$$\frac{4-p+\left(p+3\right)\left(-p-6\right)}{\left(p-6\right)\left(-p-6\right)}$$

Déan iolrúcháin in 4-p+\left(p+3\right)\left(-p-6\right).

$$\frac{4-p-p^{2}-6p-3p-18}{\left(p-6\right)\left(-p-6\right)}$$

Cumaisc téarmaí comhchosúla in: 4-p-p^{2}-6p-3p-18.

$$\frac{-14-10p-p^{2}}{\left(p-6\right)\left(-p-6\right)}$$

Fairsingigh \left(p-6\right)\left(-p-6\right)

$$\frac{-14-10p-p^{2}}{-p^{2}+36}$$

Fairsingigh

$$\frac{p^{2}+10p+14}{p^{2}-36}$$

Céimeanna gearra réitigh

Fachtóirigh 36-p^{2}.

$$\frac{4-p}{\left(p-6\right)\left(-p-6\right)}+\frac{p+3}{p-6}$$

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(p-6\right)\left(-p-6\right) agus p-6 ná \left(p-6\right)\left(-p-6\right). Méadaigh \frac{p+3}{p-6} faoi \frac{-p-6}{-p-6}.

$$\frac{4-p}{\left(p-6\right)\left(-p-6\right)}+\frac{\left(p+3\right)\left(-p-6\right)}{\left(p-6\right)\left(-p-6\right)}$$

Tá an t-ainmneoir céanna ag \frac{4-p}{\left(p-6\right)\left(-p-6\right)} agus \frac{\left(p+3\right)\left(-p-6\right)}{\left(p-6\right)\left(-p-6\right)} agus, mar sin, is féidir iad a shuimiú trína n-uimhreoirí a shuimiú.

$$\frac{4-p+\left(p+3\right)\left(-p-6\right)}{\left(p-6\right)\left(-p-6\right)}$$

Déan iolrúcháin in 4-p+\left(p+3\right)\left(-p-6\right).

$$\frac{4-p-p^{2}-6p-3p-18}{\left(p-6\right)\left(-p-6\right)}$$

Cumaisc téarmaí comhchosúla in: 4-p-p^{2}-6p-3p-18.

$$\frac{-14-10p-p^{2}}{\left(p-6\right)\left(-p-6\right)}$$

Fairsingigh \left(p-6\right)\left(-p-6\right)

$$\frac{-14-10p-p^{2}}{-p^{2}+36}$$