1/n-1/n^2/frac{1{n^4}}+n/frac{1{n}}:frac{n^2}{n^2} eching

$$\frac { \frac { 1 } { n } - \frac { 1 } { n ^ { 2 } } } { \frac { 1 } { n ^ { 4 } } } + \frac { n } { \frac { 1 } { n } } : \frac { n ^ { 2 } } { n ^ { 2 } }$$

Baholash

$$n^{3}$$

Yechim qadamlari

1 ni olish uchun n^{2} ni n^{2} ga bo‘ling.

$$\frac{\frac{1}{n}-\frac{1}{n^{2}}}{\frac{1}{n^{4}}}+\frac{\frac{n}{\frac{1}{n}}}{1}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. n va n^{2} ning eng kichik umumiy karralisi n^{2}. \frac{1}{n} ni \frac{n}{n} marotabaga ko'paytirish.

$$\frac{\frac{n}{n^{2}}-\frac{1}{n^{2}}}{\frac{1}{n^{4}}}+\frac{\frac{n}{\frac{1}{n}}}{1}$$

\frac{n}{n^{2}} va \frac{1}{n^{2}} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{n-1}{n^{2}}}{\frac{1}{n^{4}}}+\frac{\frac{n}{\frac{1}{n}}}{1}$$

\frac{n-1}{n^{2}} ni \frac{1}{n^{4}} ga bo'lish \frac{n-1}{n^{2}} ga k'paytirish \frac{1}{n^{4}} ga qaytarish.

$$\frac{\left(n-1\right)n^{4}}{n^{2}}+\frac{\frac{n}{\frac{1}{n}}}{1}$$

Surat va maxrajdagi ikkala n^{2} ni qisqartiring.

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

n ni \frac{1}{n} ga bo'lish n ga k'paytirish \frac{1}{n} ga qaytarish.

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

n^{2} hosil qilish uchun n va n ni ko'paytirish.

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

Har qanday son birga bo‘linganda, natija o‘zi chiqadi.

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

n-1 ga n^{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$n^{3}-n^{2}+n^{2}$$

0 ni olish uchun -n^{2} va n^{2} ni birlashtirish.

$$n^{3}$$

Kengaytirish

$$n^{3}$$

Yechim qadamlari

1 ni olish uchun n^{2} ni n^{2} ga bo‘ling.

$$\frac{\frac{1}{n}-\frac{1}{n^{2}}}{\frac{1}{n^{4}}}+\frac{\frac{n}{\frac{1}{n}}}{1}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. n va n^{2} ning eng kichik umumiy karralisi n^{2}. \frac{1}{n} ni \frac{n}{n} marotabaga ko'paytirish.

$$\frac{\frac{n}{n^{2}}-\frac{1}{n^{2}}}{\frac{1}{n^{4}}}+\frac{\frac{n}{\frac{1}{n}}}{1}$$

\frac{n}{n^{2}} va \frac{1}{n^{2}} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{n-1}{n^{2}}}{\frac{1}{n^{4}}}+\frac{\frac{n}{\frac{1}{n}}}{1}$$

\frac{n-1}{n^{2}} ni \frac{1}{n^{4}} ga bo'lish \frac{n-1}{n^{2}} ga k'paytirish \frac{1}{n^{4}} ga qaytarish.

$$\frac{\left(n-1\right)n^{4}}{n^{2}}+\frac{\frac{n}{\frac{1}{n}}}{1}$$

Surat va maxrajdagi ikkala n^{2} ni qisqartiring.

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

n ni \frac{1}{n} ga bo'lish n ga k'paytirish \frac{1}{n} ga qaytarish.

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

n^{2} hosil qilish uchun n va n ni ko'paytirish.

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

Har qanday son birga bo‘linganda, natija o‘zi chiqadi.

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

n-1 ga n^{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$n^{3}-n^{2}+n^{2}$$

0 ni olish uchun -n^{2} va n^{2} ni birlashtirish.

$$n^{3}$$