Issolvi (eta/m-m/n)*m/n-m

$$( \frac { \eta } { m } - \frac { m } { n } ) \cdot \frac { m } { n - m }$$

Evalwa

$$\frac{n\eta -m^{2}}{n\left(n-m\right)}$$

Passi Qosra tas-Soluzzjonijiet

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

$$\left(\frac{\eta n}{mn}-\frac{mm}{mn}\right)\times \frac{m}{n-m}$$

Billi \frac{\eta n}{mn} u \frac{mm}{mn} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\eta n-mm}{mn}\times \frac{m}{n-m}$$

Agħmel il-multiplikazzjonijiet fi \eta n-mm.

$$\frac{\eta n-m^{2}}{mn}\times \frac{m}{n-m}$$

Immultiplika \frac{\eta n-m^{2}}{mn} b'\frac{m}{n-m} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{\left(\eta n-m^{2}\right)m}{mn\left(n-m\right)}$$

Annulla m fin-numeratur u d-denominatur.

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

Uża l-propjetà distributtiva biex timmultiplika n b'-m+n.

$$\frac{-m^{2}+n\eta }{-nm+n^{2}}$$

Espandi

$$\frac{n\eta -m^{2}}{n\left(n-m\right)}$$

Passi Qosra tas-Soluzzjonijiet

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

$$\left(\frac{\eta n}{mn}-\frac{mm}{mn}\right)\times \frac{m}{n-m}$$

Billi \frac{\eta n}{mn} u \frac{mm}{mn} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\eta n-mm}{mn}\times \frac{m}{n-m}$$

Agħmel il-multiplikazzjonijiet fi \eta n-mm.

$$\frac{\eta n-m^{2}}{mn}\times \frac{m}{n-m}$$

Immultiplika \frac{\eta n-m^{2}}{mn} b'\frac{m}{n-m} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{\left(\eta n-m^{2}\right)m}{mn\left(n-m\right)}$$

Annulla m fin-numeratur u d-denominatur.

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

Uża l-propjetà distributtiva biex timmultiplika n b'-m+n.

$$\frac{-m^{2}+n\eta }{-nm+n^{2}}$$