Issolvi x/x^2-1+x+1/(x-1)^2=

$$\frac { x } { x ^ { 2 } - 1 } + \frac { x + 1 } { ( x - 1 ) ^ { 2 } } =$$

Evalwa

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

Passi Qosra tas-Soluzzjonijiet

Iffattura x^{2}-1.

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

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' \left(x-1\right)\left(x+1\right) u \left(x-1\right)^{2} huwa \left(x+1\right)\left(x-1\right)^{2}. Immultiplika \frac{x}{\left(x-1\right)\left(x+1\right)} b'\frac{x-1}{x-1}. Immultiplika \frac{x+1}{\left(x-1\right)^{2}} b'\frac{x+1}{x+1}.

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

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

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

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

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

Ikkombina termini simili f'x^{2}-x+x^{2}+x+x+1.

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

Espandi \left(x+1\right)\left(x-1\right)^{2}.

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

Espandi

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

Passi Qosra tas-Soluzzjonijiet

Iffattura x^{2}-1.

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

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' \left(x-1\right)\left(x+1\right) u \left(x-1\right)^{2} huwa \left(x+1\right)\left(x-1\right)^{2}. Immultiplika \frac{x}{\left(x-1\right)\left(x+1\right)} b'\frac{x-1}{x-1}. Immultiplika \frac{x+1}{\left(x-1\right)^{2}} b'\frac{x+1}{x+1}.

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

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

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

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

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

Ikkombina termini simili f'x^{2}-x+x^{2}+x+x+1.

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

Espandi \left(x+1\right)\left(x-1\right)^{2}.

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