Issolvi x^2-x+9/x^3-9x+1/x^2-9-1/x-3+1/x

$$\frac { x ^ { 2 } - x + 9 } { x ^ { 3 } - 9 x } + \frac { 1 } { x ^ { 2 } - 9 } - \frac { 1 } { x - 3 } + \frac { 1 } { x }$$

Evalwa

$$\frac{1}{x+3}$$

Passi Qosra tas-Soluzzjonijiet

Iffattura x^{3}-9x. Iffattura x^{2}-9.

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

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

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

Billi \frac{x^{2}-x+9}{x\left(x-3\right)\left(x+3\right)} u \frac{x}{x\left(x-3\right)\left(x+3\right)} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

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

Ikkombina termini simili f'x^{2}-x+9+x.

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

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

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

Billi \frac{x^{2}+9}{x\left(x-3\right)\left(x+3\right)} u \frac{x\left(x+3\right)}{x\left(x-3\right)\left(x+3\right)} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

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

Agħmel il-multiplikazzjonijiet fi x^{2}+9-x\left(x+3\right).

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

Ikkombina termini simili f'x^{2}+9-x^{2}-3x.

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

Iffattura l-espressjonijiet li mhumiex diġà fatturati f'\frac{9-3x}{x\left(x-3\right)\left(x+3\right)}.

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

Estratta l-sinjal negattiv fi 3-x.

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

Annulla x-3 fin-numeratur u d-denominatur.

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

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

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

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

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

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

$$\frac{x}{x\left(x+3\right)}$$

Annulla x fin-numeratur u d-denominatur.

$$\frac{1}{x+3}$$

Espandi

$$\frac{1}{x+3}$$

Passi Qosra tas-Soluzzjonijiet

Iffattura x^{3}-9x. Iffattura x^{2}-9.

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

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

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

Billi \frac{x^{2}-x+9}{x\left(x-3\right)\left(x+3\right)} u \frac{x}{x\left(x-3\right)\left(x+3\right)} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

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

Ikkombina termini simili f'x^{2}-x+9+x.

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

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

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

Billi \frac{x^{2}+9}{x\left(x-3\right)\left(x+3\right)} u \frac{x\left(x+3\right)}{x\left(x-3\right)\left(x+3\right)} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

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

Agħmel il-multiplikazzjonijiet fi x^{2}+9-x\left(x+3\right).

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

Ikkombina termini simili f'x^{2}+9-x^{2}-3x.

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

Iffattura l-espressjonijiet li mhumiex diġà fatturati f'\frac{9-3x}{x\left(x-3\right)\left(x+3\right)}.

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

Estratta l-sinjal negattiv fi 3-x.

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

Annulla x-3 fin-numeratur u d-denominatur.

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

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

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

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

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

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

$$\frac{x}{x\left(x+3\right)}$$

Annulla x fin-numeratur u d-denominatur.

$$\frac{1}{x+3}$$