Issolvi 162/n^2nleft(2n+1right)left(n+1right)/6

$$\frac{ 162 }{ { n }^{ 2 } } \frac{ n \left( 2n+1 \right) \left( n+1 \right) }{ 6 }$$

Evalwa

$$54n+81+\frac{27}{n}$$

Passi Qosra tas-Soluzzjonijiet

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

$$\frac{162}{n^{2}}\times \frac{\left(2n^{2}+n\right)\left(n+1\right)}{6}$$

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

$$\frac{162}{n^{2}}\times \frac{2n^{3}+3n^{2}+n}{6}$$

Immultiplika \frac{162}{n^{2}} b'\frac{2n^{3}+3n^{2}+n}{6} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{162\left(2n^{3}+3n^{2}+n\right)}{n^{2}\times 6}$$

Annulla 6 fin-numeratur u d-denominatur.

$$\frac{27\left(2n^{3}+3n^{2}+n\right)}{n^{2}}$$

Iffattura l-espressjonijiet li mhumiex diġà fatturati.

$$\frac{27n\left(n+1\right)\left(2n+1\right)}{n^{2}}$$

Annulla n fin-numeratur u d-denominatur.

$$\frac{27\left(n+1\right)\left(2n+1\right)}{n}$$

Espandi l-espressjoni.

$$\frac{54n^{2}+81n+27}{n}$$

Espandi

$$54n+81+\frac{27}{n}$$

Passi Qosra tas-Soluzzjonijiet

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

$$\frac{162}{n^{2}}\times \frac{\left(2n^{2}+n\right)\left(n+1\right)}{6}$$

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

$$\frac{162}{n^{2}}\times \frac{2n^{3}+3n^{2}+n}{6}$$

Immultiplika \frac{162}{n^{2}} b'\frac{2n^{3}+3n^{2}+n}{6} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{162\left(2n^{3}+3n^{2}+n\right)}{n^{2}\times 6}$$

Annulla 6 fin-numeratur u d-denominatur.

$$\frac{27\left(2n^{3}+3n^{2}+n\right)}{n^{2}}$$

Iffattura l-espressjonijiet li mhumiex diġà fatturati.

$$\frac{27n\left(n+1\right)\left(2n+1\right)}{n^{2}}$$

Annulla n fin-numeratur u d-denominatur.

$$\frac{27\left(n+1\right)\left(2n+1\right)}{n}$$

Espandi l-espressjoni.

$$\frac{54n^{2}+81n+27}{n}$$