(eta/m-m/n)*m/n-m eching

$$( \frac { \eta } { m } - \frac { m } { n } ) \cdot \frac { m } { n - m }$$

Baholash

$$\frac{n\eta -m^{2}}{n\left(n-m\right)}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. m va n ning eng kichik umumiy karralisi mn. \frac{\eta }{m} ni \frac{n}{n} marotabaga ko'paytirish. \frac{m}{n} ni \frac{m}{m} marotabaga ko'paytirish.

$$\left(\frac{\eta n}{mn}-\frac{mm}{mn}\right)\times \frac{m}{n-m}$$

\frac{\eta n}{mn} va \frac{mm}{mn} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\eta n-mm}{mn}\times \frac{m}{n-m}$$

\eta n-mm ichidagi ko‘paytirishlarni bajaring.

$$\frac{\eta n-m^{2}}{mn}\times \frac{m}{n-m}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{\eta n-m^{2}}{mn} ni \frac{m}{n-m} ga ko‘paytiring.

$$\frac{\left(\eta n-m^{2}\right)m}{mn\left(n-m\right)}$$

Surat va maxrajdagi ikkala m ni qisqartiring.

$$\frac{-m^{2}+n\eta }{n\left(-m+n\right)}$$

n ga -m+n ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{-m^{2}+n\eta }{-nm+n^{2}}$$

Kengaytirish

$$\frac{n\eta -m^{2}}{n\left(n-m\right)}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. m va n ning eng kichik umumiy karralisi mn. \frac{\eta }{m} ni \frac{n}{n} marotabaga ko'paytirish. \frac{m}{n} ni \frac{m}{m} marotabaga ko'paytirish.

$$\left(\frac{\eta n}{mn}-\frac{mm}{mn}\right)\times \frac{m}{n-m}$$

\frac{\eta n}{mn} va \frac{mm}{mn} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\eta n-mm}{mn}\times \frac{m}{n-m}$$

\eta n-mm ichidagi ko‘paytirishlarni bajaring.

$$\frac{\eta n-m^{2}}{mn}\times \frac{m}{n-m}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{\eta n-m^{2}}{mn} ni \frac{m}{n-m} ga ko‘paytiring.

$$\frac{\left(\eta n-m^{2}\right)m}{mn\left(n-m\right)}$$

Surat va maxrajdagi ikkala m ni qisqartiring.

$$\frac{-m^{2}+n\eta }{n\left(-m+n\right)}$$

n ga -m+n ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{-m^{2}+n\eta }{-nm+n^{2}}$$