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

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

Evalwa

$$\frac{m^{2}-3mn-2n^{2}}{2m\left(m-2n\right)}$$

Passi Qosra tas-Soluzzjonijiet

Ikkombina m^{2} u m^{2} biex tikseb 2m^{2}.

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

Iffattura l-espressjonijiet li mhumiex diġà fatturati f'\frac{m^{2}-n^{2}}{2m^{2}-2mn}.

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

Annulla m-n fin-numeratur u d-denominatur.

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

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. Immultiplika 1 b'\frac{m-2n}{m-2n}.

$$\frac{m-2n}{m-2n}+\frac{n-m}{m-2n}+\frac{m+n}{2m}$$

Billi \frac{m-2n}{m-2n} u \frac{n-m}{m-2n} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{m-2n+n-m}{m-2n}+\frac{m+n}{2m}$$

Ikkombina termini simili f'm-2n+n-m.

$$\frac{-n}{m-2n}+\frac{m+n}{2m}$$

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

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

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

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

Agħmel il-multiplikazzjonijiet fi -n\times 2m+\left(m+n\right)\left(m-2n\right).

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

Ikkombina termini simili f'-2nm+m^{2}-2mn+nm-2n^{2}.

$$\frac{m^{2}-3nm-2n^{2}}{2m\left(m-2n\right)}$$

Espandi 2m\left(m-2n\right).

$$\frac{m^{2}-3nm-2n^{2}}{2m^{2}-4mn}$$

Espandi

$$\frac{m^{2}-3mn-2n^{2}}{2m\left(m-2n\right)}$$

Passi Qosra tas-Soluzzjonijiet

Ikkombina m^{2} u m^{2} biex tikseb 2m^{2}.

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

Iffattura l-espressjonijiet li mhumiex diġà fatturati f'\frac{m^{2}-n^{2}}{2m^{2}-2mn}.

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

Annulla m-n fin-numeratur u d-denominatur.

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

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. Immultiplika 1 b'\frac{m-2n}{m-2n}.

$$\frac{m-2n}{m-2n}+\frac{n-m}{m-2n}+\frac{m+n}{2m}$$

Billi \frac{m-2n}{m-2n} u \frac{n-m}{m-2n} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{m-2n+n-m}{m-2n}+\frac{m+n}{2m}$$

Ikkombina termini simili f'm-2n+n-m.

$$\frac{-n}{m-2n}+\frac{m+n}{2m}$$

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

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

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

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

Agħmel il-multiplikazzjonijiet fi -n\times 2m+\left(m+n\right)\left(m-2n\right).

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

Ikkombina termini simili f'-2nm+m^{2}-2mn+nm-2n^{2}.

$$\frac{m^{2}-3nm-2n^{2}}{2m\left(m-2n\right)}$$

Espandi 2m\left(m-2n\right).

$$\frac{m^{2}-3nm-2n^{2}}{2m^{2}-4mn}$$