Issolvi 324/n^3(n(2n+1)(n+1)/6)

$$\frac { 324 } { n ^ { 3 } } ( \frac { n ( 2 n + 1 ) ( n + 1 ) } { 6 } )$$

Evalwa

$$108+\frac{162}{n}+\frac{54}{n^{2}}$$

Passi Qosra tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika n b'2n+1.

$$\frac{324}{n^{3}}\times \frac{\left(2n^{2}+n\right)\left(n+1\right)}{6}$$

Uża l-propjetà distributtiva biex timmultiplika 2n^{2}+n b'n+1 u kkombina termini simili.

$$\frac{324}{n^{3}}\times \frac{2n^{3}+3n^{2}+n}{6}$$

Immultiplika \frac{324}{n^{3}} b'\frac{2n^{3}+3n^{2}+n}{6} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{324\left(2n^{3}+3n^{2}+n\right)}{n^{3}\times 6}$$

Annulla 6 fin-numeratur u d-denominatur.

$$\frac{54\left(2n^{3}+3n^{2}+n\right)}{n^{3}}$$

Iffattura l-espressjonijiet li mhumiex diġà fatturati.

$$\frac{54n\left(n+1\right)\left(2n+1\right)}{n^{3}}$$

Annulla n fin-numeratur u d-denominatur.

$$\frac{54\left(n+1\right)\left(2n+1\right)}{n^{2}}$$

Espandi l-espressjoni.

$$\frac{108n^{2}+162n+54}{n^{2}}$$

Espandi

$$108+\frac{162}{n}+\frac{54}{n^{2}}$$

Passi Qosra tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika n b'2n+1.

$$\frac{324}{n^{3}}\times \frac{\left(2n^{2}+n\right)\left(n+1\right)}{6}$$

Uża l-propjetà distributtiva biex timmultiplika 2n^{2}+n b'n+1 u kkombina termini simili.

$$\frac{324}{n^{3}}\times \frac{2n^{3}+3n^{2}+n}{6}$$

Immultiplika \frac{324}{n^{3}} b'\frac{2n^{3}+3n^{2}+n}{6} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{324\left(2n^{3}+3n^{2}+n\right)}{n^{3}\times 6}$$

Annulla 6 fin-numeratur u d-denominatur.

$$\frac{54\left(2n^{3}+3n^{2}+n\right)}{n^{3}}$$

Iffattura l-espressjonijiet li mhumiex diġà fatturati.

$$\frac{54n\left(n+1\right)\left(2n+1\right)}{n^{3}}$$

Annulla n fin-numeratur u d-denominatur.

$$\frac{54\left(n+1\right)\left(2n+1\right)}{n^{2}}$$

Espandi l-espressjoni.

$$\frac{108n^{2}+162n+54}{n^{2}}$$