Issolvi 3/m^2-14m+49+2m/7-m

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

Evalwa

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

Passi Qosra tas-Soluzzjonijiet

Iffattura m^{2}-14m+49.

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

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' \left(m-7\right)^{2} u 7-m huwa \left(m-7\right)^{2}. Immultiplika \frac{2m}{7-m} b'\frac{-\left(m-7\right)}{-\left(m-7\right)}.

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

Billi \frac{3}{\left(m-7\right)^{2}} u \frac{2m\left(-1\right)\left(m-7\right)}{\left(m-7\right)^{2}} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

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

Agħmel il-multiplikazzjonijiet fi 3+2m\left(-1\right)\left(m-7\right).

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

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

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

Iddifferenzja w.r.t. m

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