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

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

Evalwa

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

Passi Qosra tas-Soluzzjonijiet

Iffattura x^{2}+3x+2.

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

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+2\right) u x+2 huwa \left(x+1\right)\left(x+2\right). Immultiplika \frac{2x}{x+2} b'\frac{x+1}{x+1}.

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

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

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

Agħmel il-multiplikazzjonijiet fi x^{2}-2x\left(x+1\right).

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

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

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

Iffattura l-espressjonijiet li mhumiex diġà fatturati f'\frac{-x^{2}-2x}{\left(x+1\right)\left(x+2\right)}.

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

Estratta l-sinjal negattiv fi -2-x.

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

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

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

Fattur

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