Issolvi m+n/2mm-n/5m^3n1/10n^2=

$$\frac { m + n } { 2 m } \frac { m - n } { 5 m ^ { 3 } n } \frac { 1 } { 10 n ^ { 2 } } =$$

Evalwa

$$\frac{m^{2}-n^{2}}{100n^{3}m^{4}}$$

Passi Qosra tas-Soluzzjonijiet

Immultiplika \frac{m+n}{2m} b'\frac{m-n}{5m^{3}n} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{\left(m+n\right)\left(m-n\right)}{2m\times 5m^{3}n}\times \frac{1}{10n^{2}}$$

Immultiplika \frac{\left(m+n\right)\left(m-n\right)}{2m\times 5m^{3}n} b'\frac{1}{10n^{2}} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{\left(m+n\right)\left(m-n\right)}{2m\times 5m^{3}n\times 10n^{2}}$$

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom. Żid 1 u 3 biex tikseb 4.

$$\frac{\left(m+n\right)\left(m-n\right)}{2m^{4}\times 5n\times 10n^{2}}$$

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom. Żid 1 u 2 biex tikseb 3.

$$\frac{\left(m+n\right)\left(m-n\right)}{2m^{4}\times 5n^{3}\times 10}$$

Immultiplika 2 u 5 biex tikseb 10.

$$\frac{\left(m+n\right)\left(m-n\right)}{10m^{4}n^{3}\times 10}$$

Immultiplika 10 u 10 biex tikseb 100.

$$\frac{\left(m+n\right)\left(m-n\right)}{100m^{4}n^{3}}$$

Ikkunsidra li \left(m+n\right)\left(m-n\right). Il-multiplikazzjoni tista' tiġi ttrasformata fid-differenza tal-kwadrati li jużaw ir-regola: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\frac{m^{2}-n^{2}}{100m^{4}n^{3}}$$

Espandi

$$-\frac{n^{2}-m^{2}}{100n^{3}m^{4}}$$

Passi Qosra tas-Soluzzjonijiet

Immultiplika \frac{m+n}{2m} b'\frac{m-n}{5m^{3}n} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{\left(m+n\right)\left(m-n\right)}{2m\times 5m^{3}n}\times \frac{1}{10n^{2}}$$

Immultiplika \frac{\left(m+n\right)\left(m-n\right)}{2m\times 5m^{3}n} b'\frac{1}{10n^{2}} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{\left(m+n\right)\left(m-n\right)}{2m\times 5m^{3}n\times 10n^{2}}$$

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom. Żid 1 u 3 biex tikseb 4.

$$\frac{\left(m+n\right)\left(m-n\right)}{2m^{4}\times 5n\times 10n^{2}}$$

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom. Żid 1 u 2 biex tikseb 3.

$$\frac{\left(m+n\right)\left(m-n\right)}{2m^{4}\times 5n^{3}\times 10}$$

Immultiplika 2 u 5 biex tikseb 10.

$$\frac{\left(m+n\right)\left(m-n\right)}{10m^{4}n^{3}\times 10}$$

Immultiplika 10 u 10 biex tikseb 100.

$$\frac{\left(m+n\right)\left(m-n\right)}{100m^{4}n^{3}}$$

Ikkunsidra li \left(m+n\right)\left(m-n\right). Il-multiplikazzjoni tista' tiġi ttrasformata fid-differenza tal-kwadrati li jużaw ir-regola: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\frac{m^{2}-n^{2}}{100m^{4}n^{3}}$$