Issolvi x-2/x-frac{12{x+1}}

$$\frac { x - 2 } { x - \frac { 12 } { x + 1 } }$$

Evalwa

$$\frac{\left(x-2\right)\left(x+1\right)}{x^{2}+x-12}$$

Passi Qosra tas-Soluzzjonijiet

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. Immultiplika x b'\frac{x+1}{x+1}.

$$\frac{x-2}{\frac{x\left(x+1\right)}{x+1}-\frac{12}{x+1}}$$

Billi \frac{x\left(x+1\right)}{x+1} u \frac{12}{x+1} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{x-2}{\frac{x\left(x+1\right)-12}{x+1}}$$

Agħmel il-multiplikazzjonijiet fi x\left(x+1\right)-12.

$$\frac{x-2}{\frac{x^{2}+x-12}{x+1}}$$

Iddividi x-2 b'\frac{x^{2}+x-12}{x+1} billi timmultiplika x-2 bir-reċiproku ta' \frac{x^{2}+x-12}{x+1}.

$$\frac{\left(x-2\right)\left(x+1\right)}{x^{2}+x-12}$$

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' x-2 b'kull terminu ta' x+1.

$$\frac{x^{2}+x-2x-2}{x^{2}+x-12}$$

Ikkombina x u -2x biex tikseb -x.

$$\frac{x^{2}-x-2}{x^{2}+x-12}$$

Espandi

$$\frac{x^{2}-x-2}{x^{2}+x-12}$$

Passi Qosra tas-Soluzzjonijiet

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. Immultiplika x b'\frac{x+1}{x+1}.

$$\frac{x-2}{\frac{x\left(x+1\right)}{x+1}-\frac{12}{x+1}}$$

Billi \frac{x\left(x+1\right)}{x+1} u \frac{12}{x+1} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{x-2}{\frac{x\left(x+1\right)-12}{x+1}}$$

Agħmel il-multiplikazzjonijiet fi x\left(x+1\right)-12.

$$\frac{x-2}{\frac{x^{2}+x-12}{x+1}}$$

Iddividi x-2 b'\frac{x^{2}+x-12}{x+1} billi timmultiplika x-2 bir-reċiproku ta' \frac{x^{2}+x-12}{x+1}.

$$\frac{\left(x-2\right)\left(x+1\right)}{x^{2}+x-12}$$

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' x-2 b'kull terminu ta' x+1.

$$\frac{x^{2}+x-2x-2}{x^{2}+x-12}$$

Ikkombina x u -2x biex tikseb -x.

$$\frac{x^{2}-x-2}{x^{2}+x-12}$$