Réitigh 3/m^2-14m+49+2m/7-m

$$\frac { 3 } { m ^ { 2 } - 14 m + 49 } + \frac { 2 m } { 7 - m }$$

Luacháil

$$-\frac{2m^{2}-14m-3}{\left(7-m\right)^{2}}$$

Céimeanna gearra réitigh

Fachtóirigh m^{2}-14m+49.

$$\frac{3}{\left(m-7\right)^{2}}+\frac{2m}{7-m}$$

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(m-7\right)^{2} agus 7-m ná \left(m-7\right)^{2}. Méadaigh \frac{2m}{7-m} faoi \frac{-\left(m-7\right)}{-\left(m-7\right)}.

$$\frac{3}{\left(m-7\right)^{2}}+\frac{2m\left(-1\right)\left(m-7\right)}{\left(m-7\right)^{2}}$$

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

$$\frac{3+2m\left(-1\right)\left(m-7\right)}{\left(m-7\right)^{2}}$$

Déan iolrúcháin in 3+2m\left(-1\right)\left(m-7\right).

$$\frac{3-2m^{2}+14m}{\left(m-7\right)^{2}}$$

Fairsingigh \left(m-7\right)^{2}

$$\frac{3-2m^{2}+14m}{m^{2}-14m+49}$$

Difreálaigh w.r.t. m

$$\frac{2\left(52-7m\right)}{\left(7-m\right)\left(m-7\right)^{2}}$$