1+n-m/m-2n+m^2-n^2/m^2-2mn+m^2 eching

$$1 + \frac { n - m } { m - 2 n } + \frac { m ^ { 2 } - n ^ { 2 } } { m ^ { 2 } - 2 m n + m ^ { 2 } }$$

Baholash

$$\frac{m^{2}-3mn-2n^{2}}{2m\left(m-2n\right)}$$

Qisqa yechim qadamlari

2m^{2} ni olish uchun m^{2} va m^{2} ni birlashtirish.

$$1+\frac{n-m}{m-2n}+\frac{m^{2}-n^{2}}{2m^{2}-2mn}$$

\frac{m^{2}-n^{2}}{2m^{2}-2mn} ichida hali faktorlanmagan ifodalarni faktorlang.

$$1+\frac{n-m}{m-2n}+\frac{\left(m+n\right)\left(m-n\right)}{2m\left(m-n\right)}$$

Surat va maxrajdagi ikkala m-n ni qisqartiring.

$$1+\frac{n-m}{m-2n}+\frac{m+n}{2m}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{m-2n}{m-2n} marotabaga ko'paytirish.

$$\frac{m-2n}{m-2n}+\frac{n-m}{m-2n}+\frac{m+n}{2m}$$

\frac{m-2n}{m-2n} va \frac{n-m}{m-2n} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{m-2n+n-m}{m-2n}+\frac{m+n}{2m}$$

m-2n+n-m kabi iboralarga o‘xshab birlashtiring.

$$\frac{-n}{m-2n}+\frac{m+n}{2m}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. m-2n va 2m ning eng kichik umumiy karralisi 2m\left(m-2n\right). \frac{-n}{m-2n} ni \frac{2m}{2m} marotabaga ko'paytirish. \frac{m+n}{2m} ni \frac{m-2n}{m-2n} marotabaga ko'paytirish.

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

\frac{-n\times 2m}{2m\left(m-2n\right)} va \frac{\left(m+n\right)\left(m-2n\right)}{2m\left(m-2n\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

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

-n\times 2m+\left(m+n\right)\left(m-2n\right) ichidagi ko‘paytirishlarni bajaring.

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

-2nm+m^{2}-2mn+nm-2n^{2} kabi iboralarga o‘xshab birlashtiring.

$$\frac{m^{2}-3nm-2n^{2}}{2m\left(m-2n\right)}$$

2m\left(m-2n\right) ni kengaytirish.

$$\frac{m^{2}-3nm-2n^{2}}{2m^{2}-4mn}$$

Kengaytirish

$$\frac{m^{2}-3mn-2n^{2}}{2m\left(m-2n\right)}$$

Qisqa yechim qadamlari

2m^{2} ni olish uchun m^{2} va m^{2} ni birlashtirish.

$$1+\frac{n-m}{m-2n}+\frac{m^{2}-n^{2}}{2m^{2}-2mn}$$

\frac{m^{2}-n^{2}}{2m^{2}-2mn} ichida hali faktorlanmagan ifodalarni faktorlang.

$$1+\frac{n-m}{m-2n}+\frac{\left(m+n\right)\left(m-n\right)}{2m\left(m-n\right)}$$

Surat va maxrajdagi ikkala m-n ni qisqartiring.

$$1+\frac{n-m}{m-2n}+\frac{m+n}{2m}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{m-2n}{m-2n} marotabaga ko'paytirish.

$$\frac{m-2n}{m-2n}+\frac{n-m}{m-2n}+\frac{m+n}{2m}$$

\frac{m-2n}{m-2n} va \frac{n-m}{m-2n} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{m-2n+n-m}{m-2n}+\frac{m+n}{2m}$$

m-2n+n-m kabi iboralarga o‘xshab birlashtiring.

$$\frac{-n}{m-2n}+\frac{m+n}{2m}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. m-2n va 2m ning eng kichik umumiy karralisi 2m\left(m-2n\right). \frac{-n}{m-2n} ni \frac{2m}{2m} marotabaga ko'paytirish. \frac{m+n}{2m} ni \frac{m-2n}{m-2n} marotabaga ko'paytirish.

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

\frac{-n\times 2m}{2m\left(m-2n\right)} va \frac{\left(m+n\right)\left(m-2n\right)}{2m\left(m-2n\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

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

-n\times 2m+\left(m+n\right)\left(m-2n\right) ichidagi ko‘paytirishlarni bajaring.

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

-2nm+m^{2}-2mn+nm-2n^{2} kabi iboralarga o‘xshab birlashtiring.

$$\frac{m^{2}-3nm-2n^{2}}{2m\left(m-2n\right)}$$

2m\left(m-2n\right) ni kengaytirish.

$$\frac{m^{2}-3nm-2n^{2}}{2m^{2}-4mn}$$