n-n^2/n-m/1+frac{m^2{n^2-m^2}}= eching

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

Baholash

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

Qisqa yechim qadamlari

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

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

\frac{n\left(n-m\right)}{n-m} va \frac{n^{2}}{n-m} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

n\left(n-m\right)-n^{2} ichidagi ko‘paytirishlarni bajaring.

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

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

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

Faktor: n^{2}-m^{2}.

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

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

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

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

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

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

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

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

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

\frac{-nm}{n-m} ni \frac{n^{2}}{\left(m+n\right)\left(-m+n\right)} ga bo'lish \frac{-nm}{n-m} ga k'paytirish \frac{n^{2}}{\left(m+n\right)\left(-m+n\right)} ga qaytarish.

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

Surat va maxrajdagi ikkala n\left(-m+n\right) ni qisqartiring.

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

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

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

Kengaytirish

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

Qisqa yechim qadamlari

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

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

\frac{n\left(n-m\right)}{n-m} va \frac{n^{2}}{n-m} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

n\left(n-m\right)-n^{2} ichidagi ko‘paytirishlarni bajaring.

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

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

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

Faktor: n^{2}-m^{2}.

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

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

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

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

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

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

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

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

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

\frac{-nm}{n-m} ni \frac{n^{2}}{\left(m+n\right)\left(-m+n\right)} ga bo'lish \frac{-nm}{n-m} ga k'paytirish \frac{n^{2}}{\left(m+n\right)\left(-m+n\right)} ga qaytarish.

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

Surat va maxrajdagi ikkala n\left(-m+n\right) ni qisqartiring.

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

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

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