Issolvi 3-2x/x^3/frac{2{x^2}-1/x^3+x^2}

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

Evalwa

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

Passi Qosra tas-Soluzzjonijiet

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

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

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

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

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

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

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

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

Ikkombina termini simili f'2x+2-1.

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

Iddividi \frac{3-2x}{x^{3}} b'\frac{2x+1}{\left(x+1\right)x^{2}} billi timmultiplika \frac{3-2x}{x^{3}} bir-reċiproku ta' \frac{2x+1}{\left(x+1\right)x^{2}}.

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

Annulla x^{2} fin-numeratur u d-denominatur.

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

Uża l-propjetà distributtiva biex timmultiplika x+1 b'-2x+3 u kkombina termini simili.

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

Uża l-propjetà distributtiva biex timmultiplika x b'2x+1.

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

Espandi

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

Passi Qosra tas-Soluzzjonijiet

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

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

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

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

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

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

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

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

Ikkombina termini simili f'2x+2-1.

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

Iddividi \frac{3-2x}{x^{3}} b'\frac{2x+1}{\left(x+1\right)x^{2}} billi timmultiplika \frac{3-2x}{x^{3}} bir-reċiproku ta' \frac{2x+1}{\left(x+1\right)x^{2}}.

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

Annulla x^{2} fin-numeratur u d-denominatur.

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

Uża l-propjetà distributtiva biex timmultiplika x+1 b'-2x+3 u kkombina termini simili.

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

Uża l-propjetà distributtiva biex timmultiplika x b'2x+1.

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