Issolvi x/x^2-4+2/x^2+4x+4

$$\frac { x } { x ^ { 2 } - 4 } + \frac { 2 } { x ^ { 2 } + 4 x + 4 }$$

Evalwa

$$\frac{x^{2}+4x-4}{\left(x-2\right)\left(x+2\right)^{2}}$$

Passi Qosra tas-Soluzzjonijiet

Iffattura x^{2}-4. Iffattura x^{2}+4x+4.

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

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

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

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

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

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

$$\frac{x^{2}+2x+2x-4}{\left(x-2\right)\left(x+2\right)^{2}}$$

Ikkombina termini simili f'x^{2}+2x+2x-4.

$$\frac{x^{2}+4x-4}{\left(x-2\right)\left(x+2\right)^{2}}$$

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

$$\frac{x^{2}+4x-4}{x^{3}+2x^{2}-4x-8}$$

Iddifferenzja w.r.t. x

$$\frac{-x^{3}-6x^{2}+12x-24}{\left(x-2\right)^{2}\left(x+2\right)^{3}}$$