(122x/14+x^21356x/1841x)*x^2/3567 eching

$$( \frac{ 122x }{ 14 } + { x }^{ 2 } \frac { 1356x } { 1841x } ) \times \frac{ { x }^{ 2 } }{ 3567 }$$

Baholash

$$\frac{\left(1356x+16043\right)x^{3}}{6566847}$$

Qisqa yechim qadamlari

\frac{61}{7}x ni olish uchun 122x ni 14 ga bo‘ling.

$$\left(\frac{61}{7}x+x^{2}\times \frac{1356x}{1841x}\right)\times \frac{x^{2}}{3567}$$

Surat va maxrajdagi ikkala x ni qisqartiring.

$$\left(\frac{61}{7}x+x^{2}\times \frac{1356}{1841}\right)\times \frac{x^{2}}{3567}$$

\frac{61}{7}x+x^{2}\times \frac{1356}{1841} ga \frac{x^{2}}{3567} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{61}{7}x\times \frac{x^{2}}{3567}+\frac{1356}{1841}x^{2}\times \frac{x^{2}}{3567}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{61}{7} ni \frac{x^{2}}{3567} ga ko‘paytiring.

$$\frac{61x^{2}}{7\times 3567}x+\frac{1356}{1841}x^{2}\times \frac{x^{2}}{3567}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1356}{1841} ni \frac{x^{2}}{3567} ga ko‘paytiring.

$$\frac{61x^{2}}{7\times 3567}x+\frac{1356x^{2}}{1841\times 3567}x^{2}$$

Surat va maxrajdagi ikkala 3 ni qisqartiring.

$$\frac{61x^{2}}{7\times 3567}x+\frac{452x^{2}}{1189\times 1841}x^{2}$$

24969 hosil qilish uchun 7 va 3567 ni ko'paytirish.

$$\frac{61x^{2}}{24969}x+\frac{452x^{2}}{1189\times 1841}x^{2}$$

\frac{61x^{2}}{24969}x ni yagona kasrga aylantiring.

$$\frac{61x^{2}x}{24969}+\frac{452x^{2}}{1189\times 1841}x^{2}$$

2188949 hosil qilish uchun 1189 va 1841 ni ko'paytirish.

$$\frac{61x^{2}x}{24969}+\frac{452x^{2}}{2188949}x^{2}$$

\frac{452x^{2}}{2188949}x^{2} ni yagona kasrga aylantiring.

$$\frac{61x^{2}x}{24969}+\frac{452x^{2}x^{2}}{2188949}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 24969 va 2188949 ning eng kichik umumiy karralisi 6566847. \frac{61x^{2}x}{24969} ni \frac{263}{263} marotabaga ko'paytirish. \frac{452x^{2}x^{2}}{2188949} ni \frac{3}{3} marotabaga ko'paytirish.

$$\frac{263\times 61x^{2}x}{6566847}+\frac{3\times 452x^{2}x^{2}}{6566847}$$

\frac{263\times 61x^{2}x}{6566847} va \frac{3\times 452x^{2}x^{2}}{6566847} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{263\times 61x^{2}x+3\times 452x^{2}x^{2}}{6566847}$$

263\times 61x^{2}x+3\times 452x^{2}x^{2} ichidagi ko‘paytirishlarni bajaring.

$$\frac{16043x^{3}+1356x^{4}}{6566847}$$

Kengaytirish

$$\frac{452x^{4}}{2188949}+\frac{61x^{3}}{24969}$$

Qisqa yechim qadamlari

\frac{61}{7}x ni olish uchun 122x ni 14 ga bo‘ling.

$$\left(\frac{61}{7}x+x^{2}\times \frac{1356x}{1841x}\right)\times \frac{x^{2}}{3567}$$

Surat va maxrajdagi ikkala x ni qisqartiring.

$$\left(\frac{61}{7}x+x^{2}\times \frac{1356}{1841}\right)\times \frac{x^{2}}{3567}$$

\frac{61}{7}x+x^{2}\times \frac{1356}{1841} ga \frac{x^{2}}{3567} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{61}{7}x\times \frac{x^{2}}{3567}+\frac{1356}{1841}x^{2}\times \frac{x^{2}}{3567}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{61}{7} ni \frac{x^{2}}{3567} ga ko‘paytiring.

$$\frac{61x^{2}}{7\times 3567}x+\frac{1356}{1841}x^{2}\times \frac{x^{2}}{3567}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1356}{1841} ni \frac{x^{2}}{3567} ga ko‘paytiring.

$$\frac{61x^{2}}{7\times 3567}x+\frac{1356x^{2}}{1841\times 3567}x^{2}$$

Surat va maxrajdagi ikkala 3 ni qisqartiring.

$$\frac{61x^{2}}{7\times 3567}x+\frac{452x^{2}}{1189\times 1841}x^{2}$$

24969 hosil qilish uchun 7 va 3567 ni ko'paytirish.

$$\frac{61x^{2}}{24969}x+\frac{452x^{2}}{1189\times 1841}x^{2}$$

\frac{61x^{2}}{24969}x ni yagona kasrga aylantiring.

$$\frac{61x^{2}x}{24969}+\frac{452x^{2}}{1189\times 1841}x^{2}$$

2188949 hosil qilish uchun 1189 va 1841 ni ko'paytirish.

$$\frac{61x^{2}x}{24969}+\frac{452x^{2}}{2188949}x^{2}$$

\frac{452x^{2}}{2188949}x^{2} ni yagona kasrga aylantiring.

$$\frac{61x^{2}x}{24969}+\frac{452x^{2}x^{2}}{2188949}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 24969 va 2188949 ning eng kichik umumiy karralisi 6566847. \frac{61x^{2}x}{24969} ni \frac{263}{263} marotabaga ko'paytirish. \frac{452x^{2}x^{2}}{2188949} ni \frac{3}{3} marotabaga ko'paytirish.

$$\frac{263\times 61x^{2}x}{6566847}+\frac{3\times 452x^{2}x^{2}}{6566847}$$

\frac{263\times 61x^{2}x}{6566847} va \frac{3\times 452x^{2}x^{2}}{6566847} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{263\times 61x^{2}x+3\times 452x^{2}x^{2}}{6566847}$$

263\times 61x^{2}x+3\times 452x^{2}x^{2} ichidagi ko‘paytirishlarni bajaring.

$$\frac{16043x^{3}+1356x^{4}}{6566847}$$