1994/n^3(n(n+1)/2) eching

$$\frac { 1994 } { n ^ { 3 } } ( \frac { n ( n + 1 ) } { 2 } )$$

Baholash

$$\frac{997\left(n+1\right)}{n^{2}}$$

Qisqa yechim qadamlari

n ga n+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{1994}{n^{3}}\times \frac{n^{2}+n}{2}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1994}{n^{3}} ni \frac{n^{2}+n}{2} ga ko‘paytiring.

$$\frac{1994\left(n^{2}+n\right)}{n^{3}\times 2}$$

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\frac{997\left(n^{2}+n\right)}{n^{3}}$$

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{997n\left(n+1\right)}{n^{3}}$$

Surat va maxrajdagi ikkala n ni qisqartiring.

$$\frac{997\left(n+1\right)}{n^{2}}$$

Ifodani kengaytiring.

$$\frac{997n+997}{n^{2}}$$

Kengaytirish

$$\frac{997\left(n+1\right)}{n^{2}}$$

Qisqa yechim qadamlari

n ga n+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{1994}{n^{3}}\times \frac{n^{2}+n}{2}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1994}{n^{3}} ni \frac{n^{2}+n}{2} ga ko‘paytiring.

$$\frac{1994\left(n^{2}+n\right)}{n^{3}\times 2}$$

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\frac{997\left(n^{2}+n\right)}{n^{3}}$$

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{997n\left(n+1\right)}{n^{3}}$$

Surat va maxrajdagi ikkala n ni qisqartiring.

$$\frac{997\left(n+1\right)}{n^{2}}$$

Ifodani kengaytiring.

$$\frac{997n+997}{n^{2}}$$