Issolvi 2w/w^2-1+w/w-1

$$\frac { 2 w } { w ^ { 2 } - 1 } + \frac { w } { w - 1 }$$

Evalwa

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

Passi Qosra tas-Soluzzjonijiet

Iffattura w^{2}-1.

$$\frac{2w}{\left(w-1\right)\left(w+1\right)}+\frac{w}{w-1}$$

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

$$\frac{2w}{\left(w-1\right)\left(w+1\right)}+\frac{w\left(w+1\right)}{\left(w-1\right)\left(w+1\right)}$$

Billi \frac{2w}{\left(w-1\right)\left(w+1\right)} u \frac{w\left(w+1\right)}{\left(w-1\right)\left(w+1\right)} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{2w+w\left(w+1\right)}{\left(w-1\right)\left(w+1\right)}$$

Agħmel il-multiplikazzjonijiet fi 2w+w\left(w+1\right).

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

Ikkombina termini simili f'2w+w^{2}+w.

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

Espandi \left(w-1\right)\left(w+1\right).

$$\frac{3w+w^{2}}{w^{2}-1}$$

Fattur

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