Issolvi m^2+1/m^2+2-2m-2/m

$$m ^ { 2 } + \frac { 1 } { m ^ { 2 } } + 2 - 2 m - \frac { 2 } { m }$$

Evalwa

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

Passi Qosra tas-Soluzzjonijiet

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. Immultiplika m^{2}+2-2m b'\frac{m^{2}}{m^{2}}.

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

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

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

Agħmel il-multiplikazzjonijiet fi \left(m^{2}+2-2m\right)m^{2}+1.

$$\frac{m^{4}+2m^{2}-2m^{3}+1}{m^{2}}-\frac{2}{m}$$

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

$$\frac{m^{4}+2m^{2}-2m^{3}+1}{m^{2}}-\frac{2m}{m^{2}}$$

Billi \frac{m^{4}+2m^{2}-2m^{3}+1}{m^{2}} u \frac{2m}{m^{2}} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{m^{4}+2m^{2}-2m^{3}+1-2m}{m^{2}}$$

Fattur

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