Issolvi 3/x-6/1-x-x+5/x^2-x

$$\frac { 3 } { x } - \frac { 6 } { 1 - x } - \frac { x + 5 } { x ^ { 2 } - x }$$

Evalwa

$$\frac{8}{x}$$

Passi Qosra tas-Soluzzjonijiet

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' x u 1-x huwa x\left(-x+1\right). Immultiplika \frac{3}{x} b'\frac{-x+1}{-x+1}. Immultiplika \frac{6}{1-x} b'\frac{x}{x}.

$$\frac{3\left(-x+1\right)}{x\left(-x+1\right)}-\frac{6x}{x\left(-x+1\right)}-\frac{x+5}{x^{2}-x}$$

Billi \frac{3\left(-x+1\right)}{x\left(-x+1\right)} u \frac{6x}{x\left(-x+1\right)} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{3\left(-x+1\right)-6x}{x\left(-x+1\right)}-\frac{x+5}{x^{2}-x}$$

Agħmel il-multiplikazzjonijiet fi 3\left(-x+1\right)-6x.

$$\frac{-3x+3-6x}{x\left(-x+1\right)}-\frac{x+5}{x^{2}-x}$$

Ikkombina termini simili f'-3x+3-6x.

$$\frac{-9x+3}{x\left(-x+1\right)}-\frac{x+5}{x^{2}-x}$$

Iffattura x^{2}-x.

$$\frac{-9x+3}{x\left(-x+1\right)}-\frac{x+5}{x\left(x-1\right)}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' x\left(-x+1\right) u x\left(x-1\right) huwa x\left(x-1\right). Immultiplika \frac{-9x+3}{x\left(-x+1\right)} b'\frac{-1}{-1}.

$$\frac{-\left(-9x+3\right)}{x\left(x-1\right)}-\frac{x+5}{x\left(x-1\right)}$$

Billi \frac{-\left(-9x+3\right)}{x\left(x-1\right)} u \frac{x+5}{x\left(x-1\right)} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{-\left(-9x+3\right)-\left(x+5\right)}{x\left(x-1\right)}$$

Agħmel il-multiplikazzjonijiet fi -\left(-9x+3\right)-\left(x+5\right).

$$\frac{9x-3-x-5}{x\left(x-1\right)}$$

Ikkombina termini simili f'9x-3-x-5.

$$\frac{8x-8}{x\left(x-1\right)}$$

Iffattura l-espressjonijiet li mhumiex diġà fatturati f'\frac{8x-8}{x\left(x-1\right)}.

$$\frac{8\left(x-1\right)}{x\left(x-1\right)}$$

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

$$\frac{8}{x}$$

Espandi

$$\frac{8}{x}$$

Passi Qosra tas-Soluzzjonijiet

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' x u 1-x huwa x\left(-x+1\right). Immultiplika \frac{3}{x} b'\frac{-x+1}{-x+1}. Immultiplika \frac{6}{1-x} b'\frac{x}{x}.

$$\frac{3\left(-x+1\right)}{x\left(-x+1\right)}-\frac{6x}{x\left(-x+1\right)}-\frac{x+5}{x^{2}-x}$$

Billi \frac{3\left(-x+1\right)}{x\left(-x+1\right)} u \frac{6x}{x\left(-x+1\right)} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{3\left(-x+1\right)-6x}{x\left(-x+1\right)}-\frac{x+5}{x^{2}-x}$$

Agħmel il-multiplikazzjonijiet fi 3\left(-x+1\right)-6x.

$$\frac{-3x+3-6x}{x\left(-x+1\right)}-\frac{x+5}{x^{2}-x}$$

Ikkombina termini simili f'-3x+3-6x.

$$\frac{-9x+3}{x\left(-x+1\right)}-\frac{x+5}{x^{2}-x}$$

Iffattura x^{2}-x.

$$\frac{-9x+3}{x\left(-x+1\right)}-\frac{x+5}{x\left(x-1\right)}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' x\left(-x+1\right) u x\left(x-1\right) huwa x\left(x-1\right). Immultiplika \frac{-9x+3}{x\left(-x+1\right)} b'\frac{-1}{-1}.

$$\frac{-\left(-9x+3\right)}{x\left(x-1\right)}-\frac{x+5}{x\left(x-1\right)}$$

Billi \frac{-\left(-9x+3\right)}{x\left(x-1\right)} u \frac{x+5}{x\left(x-1\right)} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{-\left(-9x+3\right)-\left(x+5\right)}{x\left(x-1\right)}$$

Agħmel il-multiplikazzjonijiet fi -\left(-9x+3\right)-\left(x+5\right).

$$\frac{9x-3-x-5}{x\left(x-1\right)}$$

Ikkombina termini simili f'9x-3-x-5.

$$\frac{8x-8}{x\left(x-1\right)}$$

Iffattura l-espressjonijiet li mhumiex diġà fatturati f'\frac{8x-8}{x\left(x-1\right)}.

$$\frac{8\left(x-1\right)}{x\left(x-1\right)}$$

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

$$\frac{8}{x}$$