Issolvi 1/frac{n^2-6n+9{n+3}}{n+3/2n^2-18}

$$\frac { 1 } { \frac { n ^ { 2 } - 6 n + 9 } { n + 3 } } { \frac { n + 3 } { 2 n ^ { 2 } - 18 } }$$

Evalwa

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

Passi Qosra tas-Soluzzjonijiet

Iddividi 1 b'\frac{n^{2}-6n+9}{n+3} billi timmultiplika 1 bir-reċiproku ta' \frac{n^{2}-6n+9}{n+3}.

$$\frac{n+3}{n^{2}-6n+9}\times \frac{n+3}{2n^{2}-18}$$

Iffattura l-espressjonijiet li mhumiex diġà fatturati f'\frac{n+3}{2n^{2}-18}.

$$\frac{n+3}{n^{2}-6n+9}\times \frac{n+3}{2\left(n-3\right)\left(n+3\right)}$$

Annulla n+3 fin-numeratur u d-denominatur.

$$\frac{n+3}{n^{2}-6n+9}\times \frac{1}{2\left(n-3\right)}$$

Immultiplika \frac{n+3}{n^{2}-6n+9} b'\frac{1}{2\left(n-3\right)} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{n+3}{\left(n^{2}-6n+9\right)\times 2\left(n-3\right)}$$

Uża l-propjetà distributtiva biex timmultiplika n^{2}-6n+9 b'2.

$$\frac{n+3}{\left(2n^{2}-12n+18\right)\left(n-3\right)}$$

Uża l-propjetà distributtiva biex timmultiplika 2n^{2}-12n+18 b'n-3 u kkombina termini simili.

$$\frac{n+3}{2n^{3}-18n^{2}+54n-54}$$

Espandi

$$\frac{n+3}{2\left(n-3\right)\left(n^{2}-6n+9\right)}$$

Passi Qosra tas-Soluzzjonijiet

Iddividi 1 b'\frac{n^{2}-6n+9}{n+3} billi timmultiplika 1 bir-reċiproku ta' \frac{n^{2}-6n+9}{n+3}.

$$\frac{n+3}{n^{2}-6n+9}\times \frac{n+3}{2n^{2}-18}$$

Iffattura l-espressjonijiet li mhumiex diġà fatturati f'\frac{n+3}{2n^{2}-18}.

$$\frac{n+3}{n^{2}-6n+9}\times \frac{n+3}{2\left(n-3\right)\left(n+3\right)}$$

Annulla n+3 fin-numeratur u d-denominatur.

$$\frac{n+3}{n^{2}-6n+9}\times \frac{1}{2\left(n-3\right)}$$

Immultiplika \frac{n+3}{n^{2}-6n+9} b'\frac{1}{2\left(n-3\right)} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{n+3}{\left(n^{2}-6n+9\right)\times 2\left(n-3\right)}$$

Uża l-propjetà distributtiva biex timmultiplika n^{2}-6n+9 b'2.

$$\frac{n+3}{\left(2n^{2}-12n+18\right)\left(n-3\right)}$$

Uża l-propjetà distributtiva biex timmultiplika 2n^{2}-12n+18 b'n-3 u kkombina termini simili.

$$\frac{n+3}{2n^{3}-18n^{2}+54n-54}$$