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

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

Baholash

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

Yechim qadamlari

Surat va maxrajdagi ikkala 5 ni qisqartiring.

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

2 daraja ko‘rsatkichini 138 ga hisoblang va 19044 ni qiymatni oling.

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

3827844 hosil qilish uchun 201 va 19044 ni ko'paytirish.

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

2 daraja ko‘rsatkichini 180 ga hisoblang va 32400 ni qiymatni oling.

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

6480000 hosil qilish uchun 200 va 32400 ni ko'paytirish.

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

\frac{3827844}{6480000} ulushini 108 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

Surat va maxrajdagi ikkala 2 ni qisqartiring.

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

2 daraja ko‘rsatkichini 138 ga hisoblang va 19044 ni qiymatni oling.

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

133308 hosil qilish uchun 7 va 19044 ni ko'paytirish.

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

9000 hosil qilish uchun 50 va 180 ni ko'paytirish.

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

\frac{133308}{9000} ulushini 36 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

Omil

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

Yechim qadamlari

Surat va maxrajdagi ikkala 5 ni qisqartiring.

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

2 daraja ko‘rsatkichini 138 ga hisoblang va 19044 ni qiymatni oling.

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

3827844 hosil qilish uchun 201 va 19044 ni ko'paytirish.

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

2 daraja ko‘rsatkichini 180 ga hisoblang va 32400 ni qiymatni oling.

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

6480000 hosil qilish uchun 200 va 32400 ni ko'paytirish.

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

\frac{3827844}{6480000} ulushini 108 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

Surat va maxrajdagi ikkala 2 ni qisqartiring.

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

2 daraja ko‘rsatkichini 138 ga hisoblang va 19044 ni qiymatni oling.

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

133308 hosil qilish uchun 7 va 19044 ni ko'paytirish.

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

9000 hosil qilish uchun 50 va 180 ni ko'paytirish.

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

\frac{133308}{9000} ulushini 36 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

\frac{529}{60000} omili.

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