Issolvi 5/2(x-1)2x/3(1-x)^3

$$\frac { 5 } { 2 ( x - 1 ) } \frac { 2 x } { 3 ( 1 - x ) ^ { 3 } }$$

Evalwa

$$-\frac{5x}{3\left(1-x\right)^{4}}$$

Passi Qosra tas-Soluzzjonijiet

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

$$\frac{5}{2x-2}\times \frac{2x}{3\left(1-x\right)^{3}}$$

Immultiplika \frac{5}{2x-2} b'\frac{2x}{3\left(1-x\right)^{3}} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{5\times 2x}{\left(2x-2\right)\times 3\left(1-x\right)^{3}}$$

Immultiplika 5 u 2 biex tikseb 10.

$$\frac{10x}{\left(2x-2\right)\times 3\left(1-x\right)^{3}}$$

Iffattura l-espressjonijiet li mhumiex diġà fatturati.

$$\frac{10x}{2\times 3\left(x-1\right)\left(-x+1\right)^{3}}$$

Annulla 2 fin-numeratur u d-denominatur.

$$\frac{5x}{3\left(x-1\right)\left(-x+1\right)^{3}}$$

Espandi l-espressjoni.

$$\frac{5x}{-3x^{4}+12x^{3}-18x^{2}+12x-3}$$

Espandi

$$-\frac{5x}{3\left(1-x\right)^{4}}$$

Passi Qosra tas-Soluzzjonijiet

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

$$\frac{5}{2x-2}\times \frac{2x}{3\left(1-x\right)^{3}}$$

Immultiplika \frac{5}{2x-2} b'\frac{2x}{3\left(1-x\right)^{3}} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{5\times 2x}{\left(2x-2\right)\times 3\left(1-x\right)^{3}}$$

Immultiplika 5 u 2 biex tikseb 10.

$$\frac{10x}{\left(2x-2\right)\times 3\left(1-x\right)^{3}}$$

Iffattura l-espressjonijiet li mhumiex diġà fatturati.

$$\frac{10x}{2\times 3\left(x-1\right)\left(-x+1\right)^{3}}$$

Annulla 2 fin-numeratur u d-denominatur.

$$\frac{5x}{3\left(x-1\right)\left(-x+1\right)^{3}}$$

Espandi l-espressjoni.

$$\frac{5x}{-3x^{4}+12x^{3}-18x^{2}+12x-3}$$