Issolvi x^2+x+1/x^2-1*x^2-2x+1/x^3-1

$$\frac { x ^ { 2 } + x + 1 } { x ^ { 2 } - 1 } \cdot \frac { x ^ { 2 } - 2 x + 1 } { x ^ { 3 } - 1 }$$

Evalwa

$$\frac{1}{x+1}$$

Passi Qosra tas-Soluzzjonijiet

Iffattura l-espressjonijiet li mhumiex diġà fatturati f'\frac{x^{2}-2x+1}{x^{3}-1}.

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

Annulla x-1 fin-numeratur u d-denominatur.

$$\frac{x^{2}+x+1}{x^{2}-1}\times \frac{x-1}{x^{2}+x+1}$$

Immultiplika \frac{x^{2}+x+1}{x^{2}-1} b'\frac{x-1}{x^{2}+x+1} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

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

Annulla x^{2}+x+1 fin-numeratur u d-denominatur.

$$\frac{x-1}{x^{2}-1}$$

Iffattura l-espressjonijiet li mhumiex diġà fatturati.

$$\frac{x-1}{\left(x-1\right)\left(x+1\right)}$$

Annulla x-1 fin-numeratur u d-denominatur.

$$\frac{1}{x+1}$$

Espandi

$$\frac{1}{x+1}$$

Passi Qosra tas-Soluzzjonijiet

Iffattura l-espressjonijiet li mhumiex diġà fatturati f'\frac{x^{2}-2x+1}{x^{3}-1}.

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

Annulla x-1 fin-numeratur u d-denominatur.

$$\frac{x^{2}+x+1}{x^{2}-1}\times \frac{x-1}{x^{2}+x+1}$$

Immultiplika \frac{x^{2}+x+1}{x^{2}-1} b'\frac{x-1}{x^{2}+x+1} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

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

Annulla x^{2}+x+1 fin-numeratur u d-denominatur.

$$\frac{x-1}{x^{2}-1}$$

Iffattura l-espressjonijiet li mhumiex diġà fatturati.

$$\frac{x-1}{\left(x-1\right)\left(x+1\right)}$$

Annulla x-1 fin-numeratur u d-denominatur.

$$\frac{1}{x+1}$$