Issolvi frac{x-4x^{2}+x-4}{x^{4}-x^{3}+x^{2}-x}*2x^3+2x^2+x+1/2x^3-8x^2+x-4

$$\frac { x - 4 x ^ { 2 } + x - 4 } { x ^ { 4 } - x ^ { 3 } + x ^ { 2 } - x } \cdot \frac { 2 x ^ { 3 } + 2 x ^ { 2 } + x + 1 } { 2 x ^ { 3 } - 8 x ^ { 2 } + x - 4 }$$

Evalwa

$$\frac{2\left(x+1\right)\left(-2x^{2}+x-2\right)}{x\left(x-4\right)\left(x-1\right)\left(x^{2}+1\right)}$$

Passi Qosra tas-Soluzzjonijiet

Ikkombina x u x biex tikseb 2x.

$$\frac{2x-4x^{2}-4}{x^{4}-x^{3}+x^{2}-x}\times \frac{2x^{3}+2x^{2}+x+1}{2x^{3}-8x^{2}+x-4}$$

Iffattura l-espressjonijiet li mhumiex diġà fatturati f'\frac{2x^{3}+2x^{2}+x+1}{2x^{3}-8x^{2}+x-4}.

$$\frac{2x-4x^{2}-4}{x^{4}-x^{3}+x^{2}-x}\times \frac{\left(x+1\right)\left(2x^{2}+1\right)}{\left(x-4\right)\left(2x^{2}+1\right)}$$

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

$$\frac{2x-4x^{2}-4}{x^{4}-x^{3}+x^{2}-x}\times \frac{x+1}{x-4}$$

Immultiplika \frac{2x-4x^{2}-4}{x^{4}-x^{3}+x^{2}-x} b'\frac{x+1}{x-4} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{\left(2x-4x^{2}-4\right)\left(x+1\right)}{\left(x^{4}-x^{3}+x^{2}-x\right)\left(x-4\right)}$$

Uża l-propjetà distributtiva biex timmultiplika 2x-4x^{2}-4 b'x+1 u kkombina termini simili.

$$\frac{-2x^{2}-2x-4x^{3}-4}{\left(x^{4}-x^{3}+x^{2}-x\right)\left(x-4\right)}$$

Uża l-propjetà distributtiva biex timmultiplika x^{4}-x^{3}+x^{2}-x b'x-4 u kkombina termini simili.

$$\frac{-2x^{2}-2x-4x^{3}-4}{x^{5}-5x^{4}+5x^{3}-5x^{2}+4x}$$

Espandi

$$-\frac{2\left(2x^{3}+x^{2}+x+2\right)}{\left(x-4\right)\left(x^{4}-x^{3}+x^{2}-x\right)}$$

Passi Qosra tas-Soluzzjonijiet

Ikkombina x u x biex tikseb 2x.

$$\frac{2x-4x^{2}-4}{x^{4}-x^{3}+x^{2}-x}\times \frac{2x^{3}+2x^{2}+x+1}{2x^{3}-8x^{2}+x-4}$$

Iffattura l-espressjonijiet li mhumiex diġà fatturati f'\frac{2x^{3}+2x^{2}+x+1}{2x^{3}-8x^{2}+x-4}.

$$\frac{2x-4x^{2}-4}{x^{4}-x^{3}+x^{2}-x}\times \frac{\left(x+1\right)\left(2x^{2}+1\right)}{\left(x-4\right)\left(2x^{2}+1\right)}$$

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

$$\frac{2x-4x^{2}-4}{x^{4}-x^{3}+x^{2}-x}\times \frac{x+1}{x-4}$$

Immultiplika \frac{2x-4x^{2}-4}{x^{4}-x^{3}+x^{2}-x} b'\frac{x+1}{x-4} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{\left(2x-4x^{2}-4\right)\left(x+1\right)}{\left(x^{4}-x^{3}+x^{2}-x\right)\left(x-4\right)}$$

Uża l-propjetà distributtiva biex timmultiplika 2x-4x^{2}-4 b'x+1 u kkombina termini simili.

$$\frac{-2x^{2}-2x-4x^{3}-4}{\left(x^{4}-x^{3}+x^{2}-x\right)\left(x-4\right)}$$

Uża l-propjetà distributtiva biex timmultiplika x^{4}-x^{3}+x^{2}-x b'x-4 u kkombina termini simili.

$$\frac{-2x^{2}-2x-4x^{3}-4}{x^{5}-5x^{4}+5x^{3}-5x^{2}+4x}$$