Issolvi 2/w+2-3/w+w+10/w^2-4

$$\frac { 2 } { w + 2 } - \frac { 3 } { w } + \frac { w + 10 } { w ^ { 2 } - 4 }$$

Evalwa

$$\frac{6}{w\left(w-2\right)}$$

Passi Qosra tas-Soluzzjonijiet

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' w+2 u w huwa w\left(w+2\right). Immultiplika \frac{2}{w+2} b'\frac{w}{w}. Immultiplika \frac{3}{w} b'\frac{w+2}{w+2}.

$$\frac{2w}{w\left(w+2\right)}-\frac{3\left(w+2\right)}{w\left(w+2\right)}+\frac{w+10}{w^{2}-4}$$

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

$$\frac{2w-3\left(w+2\right)}{w\left(w+2\right)}+\frac{w+10}{w^{2}-4}$$

Agħmel il-multiplikazzjonijiet fi 2w-3\left(w+2\right).

$$\frac{2w-3w-6}{w\left(w+2\right)}+\frac{w+10}{w^{2}-4}$$

Ikkombina termini simili f'2w-3w-6.

$$\frac{-w-6}{w\left(w+2\right)}+\frac{w+10}{w^{2}-4}$$

Iffattura w^{2}-4.

$$\frac{-w-6}{w\left(w+2\right)}+\frac{w+10}{\left(w-2\right)\left(w+2\right)}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' w\left(w+2\right) u \left(w-2\right)\left(w+2\right) huwa w\left(w-2\right)\left(w+2\right). Immultiplika \frac{-w-6}{w\left(w+2\right)} b'\frac{w-2}{w-2}. Immultiplika \frac{w+10}{\left(w-2\right)\left(w+2\right)} b'\frac{w}{w}.

$$\frac{\left(-w-6\right)\left(w-2\right)}{w\left(w-2\right)\left(w+2\right)}+\frac{\left(w+10\right)w}{w\left(w-2\right)\left(w+2\right)}$$

Billi \frac{\left(-w-6\right)\left(w-2\right)}{w\left(w-2\right)\left(w+2\right)} u \frac{\left(w+10\right)w}{w\left(w-2\right)\left(w+2\right)} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\left(-w-6\right)\left(w-2\right)+\left(w+10\right)w}{w\left(w-2\right)\left(w+2\right)}$$

Agħmel il-multiplikazzjonijiet fi \left(-w-6\right)\left(w-2\right)+\left(w+10\right)w.

$$\frac{-w^{2}+2w-6w+12+w^{2}+10w}{w\left(w-2\right)\left(w+2\right)}$$

Ikkombina termini simili f'-w^{2}+2w-6w+12+w^{2}+10w.

$$\frac{6w+12}{w\left(w-2\right)\left(w+2\right)}$$

Iffattura l-espressjonijiet li mhumiex diġà fatturati f'\frac{6w+12}{w\left(w-2\right)\left(w+2\right)}.

$$\frac{6\left(w+2\right)}{w\left(w-2\right)\left(w+2\right)}$$

Annulla w+2 fin-numeratur u d-denominatur.

$$\frac{6}{w\left(w-2\right)}$$

Espandi w\left(w-2\right).

$$\frac{6}{w^{2}-2w}$$

Espandi

$$\frac{6}{w\left(w-2\right)}$$

Passi Qosra tas-Soluzzjonijiet

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' w+2 u w huwa w\left(w+2\right). Immultiplika \frac{2}{w+2} b'\frac{w}{w}. Immultiplika \frac{3}{w} b'\frac{w+2}{w+2}.

$$\frac{2w}{w\left(w+2\right)}-\frac{3\left(w+2\right)}{w\left(w+2\right)}+\frac{w+10}{w^{2}-4}$$

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

$$\frac{2w-3\left(w+2\right)}{w\left(w+2\right)}+\frac{w+10}{w^{2}-4}$$

Agħmel il-multiplikazzjonijiet fi 2w-3\left(w+2\right).

$$\frac{2w-3w-6}{w\left(w+2\right)}+\frac{w+10}{w^{2}-4}$$

Ikkombina termini simili f'2w-3w-6.

$$\frac{-w-6}{w\left(w+2\right)}+\frac{w+10}{w^{2}-4}$$

Iffattura w^{2}-4.

$$\frac{-w-6}{w\left(w+2\right)}+\frac{w+10}{\left(w-2\right)\left(w+2\right)}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' w\left(w+2\right) u \left(w-2\right)\left(w+2\right) huwa w\left(w-2\right)\left(w+2\right). Immultiplika \frac{-w-6}{w\left(w+2\right)} b'\frac{w-2}{w-2}. Immultiplika \frac{w+10}{\left(w-2\right)\left(w+2\right)} b'\frac{w}{w}.

$$\frac{\left(-w-6\right)\left(w-2\right)}{w\left(w-2\right)\left(w+2\right)}+\frac{\left(w+10\right)w}{w\left(w-2\right)\left(w+2\right)}$$

Billi \frac{\left(-w-6\right)\left(w-2\right)}{w\left(w-2\right)\left(w+2\right)} u \frac{\left(w+10\right)w}{w\left(w-2\right)\left(w+2\right)} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\left(-w-6\right)\left(w-2\right)+\left(w+10\right)w}{w\left(w-2\right)\left(w+2\right)}$$

Agħmel il-multiplikazzjonijiet fi \left(-w-6\right)\left(w-2\right)+\left(w+10\right)w.

$$\frac{-w^{2}+2w-6w+12+w^{2}+10w}{w\left(w-2\right)\left(w+2\right)}$$

Ikkombina termini simili f'-w^{2}+2w-6w+12+w^{2}+10w.

$$\frac{6w+12}{w\left(w-2\right)\left(w+2\right)}$$

Iffattura l-espressjonijiet li mhumiex diġà fatturati f'\frac{6w+12}{w\left(w-2\right)\left(w+2\right)}.

$$\frac{6\left(w+2\right)}{w\left(w-2\right)\left(w+2\right)}$$

Annulla w+2 fin-numeratur u d-denominatur.

$$\frac{6}{w\left(w-2\right)}$$

Espandi w\left(w-2\right).

$$\frac{6}{w^{2}-2w}$$