Resolver {[(1-3/8+4/5-11/20)*(3/14+frac{5}{7}-1+frac{3}{2})]^2:(-frac{2}{2}+frac{2}{4})^2}^2:(frac{5}{6}+frac{1}{2}-frac{1}{12})^2

$$\{ [ ( 1 - \frac { 3 } { 8 } + \frac { 4 } { 5 } - \frac { 11 } { 20 } ) \cdot ( \frac { 3 } { 14 } + \frac { 5 } { 7 } - 1 + \frac { 3 } { 2 } ) ] ^ { 2 } : ( - \frac { 2 } { 2 } + \frac { 2 } { 4 } ) ^ { 2 } \} ^ { 2 } : ( \frac { 5 } { 6 } + \frac { 1 } { 2 } - \frac { 1 } { 12 } ) ^ { 2 }$$

Ebaluatu

$$25$$

Ebazpidea

1 lortzeko, zatitu 2 2 balioarekin.

$$\frac{\left(\frac{\left(\left(1-\frac{3}{8}+\frac{4}{5}-\frac{11}{20}\right)\left(\frac{3}{14}+\frac{5}{7}-1+\frac{3}{2}\right)\right)^{2}}{\left(-1+\frac{2}{4}\right)^{2}}\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

\frac{5}{8} lortzeko, 1 balioari kendu \frac{3}{8}.

$$\frac{\left(\frac{\left(\left(\frac{5}{8}+\frac{4}{5}-\frac{11}{20}\right)\left(\frac{3}{14}+\frac{5}{7}-1+\frac{3}{2}\right)\right)^{2}}{\left(-1+\frac{2}{4}\right)^{2}}\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

\frac{57}{40} lortzeko, gehitu \frac{5}{8} eta \frac{4}{5}.

$$\frac{\left(\frac{\left(\left(\frac{57}{40}-\frac{11}{20}\right)\left(\frac{3}{14}+\frac{5}{7}-1+\frac{3}{2}\right)\right)^{2}}{\left(-1+\frac{2}{4}\right)^{2}}\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

\frac{7}{8} lortzeko, \frac{57}{40} balioari kendu \frac{11}{20}.

$$\frac{\left(\frac{\left(\frac{7}{8}\left(\frac{3}{14}+\frac{5}{7}-1+\frac{3}{2}\right)\right)^{2}}{\left(-1+\frac{2}{4}\right)^{2}}\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

\frac{13}{14} lortzeko, gehitu \frac{3}{14} eta \frac{5}{7}.

$$\frac{\left(\frac{\left(\frac{7}{8}\left(\frac{13}{14}-1+\frac{3}{2}\right)\right)^{2}}{\left(-1+\frac{2}{4}\right)^{2}}\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

-\frac{1}{14} lortzeko, \frac{13}{14} balioari kendu 1.

$$\frac{\left(\frac{\left(\frac{7}{8}\left(-\frac{1}{14}+\frac{3}{2}\right)\right)^{2}}{\left(-1+\frac{2}{4}\right)^{2}}\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

\frac{10}{7} lortzeko, gehitu -\frac{1}{14} eta \frac{3}{2}.

$$\frac{\left(\frac{\left(\frac{7}{8}\times \frac{10}{7}\right)^{2}}{\left(-1+\frac{2}{4}\right)^{2}}\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

\frac{5}{4} lortzeko, biderkatu \frac{7}{8} eta \frac{10}{7}.

$$\frac{\left(\frac{\left(\frac{5}{4}\right)^{2}}{\left(-1+\frac{2}{4}\right)^{2}}\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

\frac{25}{16} lortzeko, egin \frac{5}{4} ber 2.

$$\frac{\left(\frac{\frac{25}{16}}{\left(-1+\frac{2}{4}\right)^{2}}\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

Murriztu \frac{2}{4} zatikia gai txikienera, 2 bakanduta eta ezeztatuta.

$$\frac{\left(\frac{\frac{25}{16}}{\left(-1+\frac{1}{2}\right)^{2}}\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

-\frac{1}{2} lortzeko, gehitu -1 eta \frac{1}{2}.

$$\frac{\left(\frac{\frac{25}{16}}{\left(-\frac{1}{2}\right)^{2}}\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

\frac{1}{4} lortzeko, egin -\frac{1}{2} ber 2.

$$\frac{\left(\frac{\frac{25}{16}}{\frac{1}{4}}\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

Zatitu \frac{25}{16} balioa \frac{1}{4} frakzioarekin, \frac{25}{16} balioa \frac{1}{4} frakzioaren frakzio erreziprokoarekin biderkatuz.

$$\frac{\left(\frac{25}{16}\times 4\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

\frac{25}{4} lortzeko, biderkatu \frac{25}{16} eta 4.

$$\frac{\left(\frac{25}{4}\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

\frac{625}{16} lortzeko, egin \frac{25}{4} ber 2.

$$\frac{\frac{625}{16}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

\frac{4}{3} lortzeko, gehitu \frac{5}{6} eta \frac{1}{2}.

$$\frac{\frac{625}{16}}{\left(\frac{4}{3}-\frac{1}{12}\right)^{2}}$$

\frac{5}{4} lortzeko, \frac{4}{3} balioari kendu \frac{1}{12}.

$$\frac{\frac{625}{16}}{\left(\frac{5}{4}\right)^{2}}$$

\frac{25}{16} lortzeko, egin \frac{5}{4} ber 2.

$$\frac{\frac{625}{16}}{\frac{25}{16}}$$

Zatitu \frac{625}{16} balioa \frac{25}{16} frakzioarekin, \frac{625}{16} balioa \frac{25}{16} frakzioaren frakzio erreziprokoarekin biderkatuz.

$$\frac{625}{16}\times \frac{16}{25}$$

25 lortzeko, biderkatu \frac{625}{16} eta \frac{16}{25}.

$$25$$

Faktorizatu

$$5^{2}$$