Issolvi 5/x-3x+2/x+1+2/x^2+x=

$$\frac{ 5 }{ x } - \frac{ 3x+2 }{ x+1 } + \frac{ 2 }{ { x }^{ 2 } +x } =$$

Evalwa

$$\frac{7+3x-3x^{2}}{x\left(x+1\right)}$$

Passi Qosra tas-Soluzzjonijiet

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' x u x+1 huwa x\left(x+1\right). Immultiplika \frac{5}{x} b'\frac{x+1}{x+1}. Immultiplika \frac{3x+2}{x+1} b'\frac{x}{x}.

$$\frac{5\left(x+1\right)}{x\left(x+1\right)}-\frac{\left(3x+2\right)x}{x\left(x+1\right)}+\frac{2}{x^{2}+x}$$

Billi \frac{5\left(x+1\right)}{x\left(x+1\right)} u \frac{\left(3x+2\right)x}{x\left(x+1\right)} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{5\left(x+1\right)-\left(3x+2\right)x}{x\left(x+1\right)}+\frac{2}{x^{2}+x}$$

Agħmel il-multiplikazzjonijiet fi 5\left(x+1\right)-\left(3x+2\right)x.

$$\frac{5x+5-3x^{2}-2x}{x\left(x+1\right)}+\frac{2}{x^{2}+x}$$

Ikkombina termini simili f'5x+5-3x^{2}-2x.

$$\frac{3x+5-3x^{2}}{x\left(x+1\right)}+\frac{2}{x^{2}+x}$$

Iffattura x^{2}+x.

$$\frac{3x+5-3x^{2}}{x\left(x+1\right)}+\frac{2}{x\left(x+1\right)}$$

Billi \frac{3x+5-3x^{2}}{x\left(x+1\right)} u \frac{2}{x\left(x+1\right)} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{3x+5-3x^{2}+2}{x\left(x+1\right)}$$

Ikkombina termini simili f'3x+5-3x^{2}+2.

$$\frac{3x+7-3x^{2}}{x\left(x+1\right)}$$

Espandi x\left(x+1\right).

$$\frac{3x+7-3x^{2}}{x^{2}+x}$$

Espandi

$$\frac{7+3x-3x^{2}}{x\left(x+1\right)}$$

Passi Qosra tas-Soluzzjonijiet

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' x u x+1 huwa x\left(x+1\right). Immultiplika \frac{5}{x} b'\frac{x+1}{x+1}. Immultiplika \frac{3x+2}{x+1} b'\frac{x}{x}.

$$\frac{5\left(x+1\right)}{x\left(x+1\right)}-\frac{\left(3x+2\right)x}{x\left(x+1\right)}+\frac{2}{x^{2}+x}$$

Billi \frac{5\left(x+1\right)}{x\left(x+1\right)} u \frac{\left(3x+2\right)x}{x\left(x+1\right)} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{5\left(x+1\right)-\left(3x+2\right)x}{x\left(x+1\right)}+\frac{2}{x^{2}+x}$$

Agħmel il-multiplikazzjonijiet fi 5\left(x+1\right)-\left(3x+2\right)x.

$$\frac{5x+5-3x^{2}-2x}{x\left(x+1\right)}+\frac{2}{x^{2}+x}$$

Ikkombina termini simili f'5x+5-3x^{2}-2x.

$$\frac{3x+5-3x^{2}}{x\left(x+1\right)}+\frac{2}{x^{2}+x}$$

Iffattura x^{2}+x.

$$\frac{3x+5-3x^{2}}{x\left(x+1\right)}+\frac{2}{x\left(x+1\right)}$$

Billi \frac{3x+5-3x^{2}}{x\left(x+1\right)} u \frac{2}{x\left(x+1\right)} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{3x+5-3x^{2}+2}{x\left(x+1\right)}$$

Ikkombina termini simili f'3x+5-3x^{2}+2.

$$\frac{3x+7-3x^{2}}{x\left(x+1\right)}$$

Espandi x\left(x+1\right).

$$\frac{3x+7-3x^{2}}{x^{2}+x}$$