Resolver 1005*138^2/1000*180^2+j14*138^2/100*180

$$\frac{ 1005 \times { 138 }^{ 2 } }{ 1000 \times { 180 }^{ 2 } } +j \frac{ 14 \times { 138 }^{ 2 } }{ 100 \cdot 180 }$$

Calcular

$$\frac{3703j}{250}+\frac{35443}{60000}$$

Pasos da solución

Anula 5 no numerador e no denominador.

$$\frac{201\times 138^{2}}{200\times 180^{2}}+j\times \frac{14\times 138^{2}}{100\times 180}$$

Calcula 138 á potencia de 2 e obtén 19044.

$$\frac{201\times 19044}{200\times 180^{2}}+j\times \frac{14\times 138^{2}}{100\times 180}$$

Multiplica 201 e 19044 para obter 3827844.

$$\frac{3827844}{200\times 180^{2}}+j\times \frac{14\times 138^{2}}{100\times 180}$$

Calcula 180 á potencia de 2 e obtén 32400.

$$\frac{3827844}{200\times 32400}+j\times \frac{14\times 138^{2}}{100\times 180}$$

Multiplica 200 e 32400 para obter 6480000.

$$\frac{3827844}{6480000}+j\times \frac{14\times 138^{2}}{100\times 180}$$

Reduce a fracción \frac{3827844}{6480000} a termos máis baixos extraendo e cancelando 108.

$$\frac{35443}{60000}+j\times \frac{14\times 138^{2}}{100\times 180}$$

Anula 2 no numerador e no denominador.

$$\frac{35443}{60000}+j\times \frac{7\times 138^{2}}{50\times 180}$$

Calcula 138 á potencia de 2 e obtén 19044.

$$\frac{35443}{60000}+j\times \frac{7\times 19044}{50\times 180}$$

Multiplica 7 e 19044 para obter 133308.

$$\frac{35443}{60000}+j\times \frac{133308}{50\times 180}$$

Multiplica 50 e 180 para obter 9000.

$$\frac{35443}{60000}+j\times \frac{133308}{9000}$$

Reduce a fracción \frac{133308}{9000} a termos máis baixos extraendo e cancelando 36.

$$\frac{35443}{60000}+j\times \frac{3703}{250}$$

Factorizar

$$\frac{529\left(1680j+67\right)}{60000}$$

Pasos da solución

Anula 5 no numerador e no denominador.

$$factor(\frac{201\times 138^{2}}{200\times 180^{2}}+j\times \frac{14\times 138^{2}}{100\times 180})$$

Calcula 138 á potencia de 2 e obtén 19044.

$$factor(\frac{201\times 19044}{200\times 180^{2}}+j\times \frac{14\times 138^{2}}{100\times 180})$$

Multiplica 201 e 19044 para obter 3827844.

$$factor(\frac{3827844}{200\times 180^{2}}+j\times \frac{14\times 138^{2}}{100\times 180})$$

Calcula 180 á potencia de 2 e obtén 32400.

$$factor(\frac{3827844}{200\times 32400}+j\times \frac{14\times 138^{2}}{100\times 180})$$

Multiplica 200 e 32400 para obter 6480000.

$$factor(\frac{3827844}{6480000}+j\times \frac{14\times 138^{2}}{100\times 180})$$

Reduce a fracción \frac{3827844}{6480000} a termos máis baixos extraendo e cancelando 108.

$$factor(\frac{35443}{60000}+j\times \frac{14\times 138^{2}}{100\times 180})$$

Anula 2 no numerador e no denominador.

$$factor(\frac{35443}{60000}+j\times \frac{7\times 138^{2}}{50\times 180})$$

Calcula 138 á potencia de 2 e obtén 19044.

$$factor(\frac{35443}{60000}+j\times \frac{7\times 19044}{50\times 180})$$

Multiplica 7 e 19044 para obter 133308.

$$factor(\frac{35443}{60000}+j\times \frac{133308}{50\times 180})$$

Multiplica 50 e 180 para obter 9000.

$$factor(\frac{35443}{60000}+j\times \frac{133308}{9000})$$

Reduce a fracción \frac{133308}{9000} a termos máis baixos extraendo e cancelando 36.

$$factor(\frac{35443}{60000}+j\times \frac{3703}{250})$$

Factoriza \frac{529}{60000}.

$$\frac{529\left(67+1680j\right)}{60000}$$