Issolvi x+2/x+1/x+2/frac{5{x}+x/x+2}

$$\frac { \frac { x + 2 } { x } + \frac { 1 } { x + 2 } } { \frac { 5 } { x } + \frac { x } { x + 2 } }$$

Evalwa

$$\frac{\left(x+1\right)\left(x+4\right)}{x^{2}+5x+10}$$

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

$$\frac{\frac{\left(x+2\right)\left(x+2\right)}{x\left(x+2\right)}+\frac{x}{x\left(x+2\right)}}{\frac{5}{x}+\frac{x}{x+2}}$$

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

$$\frac{\frac{\left(x+2\right)\left(x+2\right)+x}{x\left(x+2\right)}}{\frac{5}{x}+\frac{x}{x+2}}$$

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

$$\frac{\frac{x^{2}+2x+2x+4+x}{x\left(x+2\right)}}{\frac{5}{x}+\frac{x}{x+2}}$$

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

$$\frac{\frac{x^{2}+5x+4}{x\left(x+2\right)}}{\frac{5}{x}+\frac{x}{x+2}}$$

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

$$\frac{\frac{x^{2}+5x+4}{x\left(x+2\right)}}{\frac{5\left(x+2\right)}{x\left(x+2\right)}+\frac{xx}{x\left(x+2\right)}}$$

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

$$\frac{\frac{x^{2}+5x+4}{x\left(x+2\right)}}{\frac{5\left(x+2\right)+xx}{x\left(x+2\right)}}$$

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

$$\frac{\frac{x^{2}+5x+4}{x\left(x+2\right)}}{\frac{5x+10+x^{2}}{x\left(x+2\right)}}$$

Iddividi \frac{x^{2}+5x+4}{x\left(x+2\right)} b'\frac{5x+10+x^{2}}{x\left(x+2\right)} billi timmultiplika \frac{x^{2}+5x+4}{x\left(x+2\right)} bir-reċiproku ta' \frac{5x+10+x^{2}}{x\left(x+2\right)}.

$$\frac{\left(x^{2}+5x+4\right)x\left(x+2\right)}{x\left(x+2\right)\left(5x+10+x^{2}\right)}$$

Annulla x\left(x+2\right) fin-numeratur u d-denominatur.

$$\frac{x^{2}+5x+4}{x^{2}+5x+10}$$

Espandi

$$\frac{x^{2}+5x+4}{x^{2}+5x+10}$$

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

$$\frac{\frac{\left(x+2\right)\left(x+2\right)}{x\left(x+2\right)}+\frac{x}{x\left(x+2\right)}}{\frac{5}{x}+\frac{x}{x+2}}$$

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

$$\frac{\frac{\left(x+2\right)\left(x+2\right)+x}{x\left(x+2\right)}}{\frac{5}{x}+\frac{x}{x+2}}$$

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

$$\frac{\frac{x^{2}+2x+2x+4+x}{x\left(x+2\right)}}{\frac{5}{x}+\frac{x}{x+2}}$$

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

$$\frac{\frac{x^{2}+5x+4}{x\left(x+2\right)}}{\frac{5}{x}+\frac{x}{x+2}}$$

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

$$\frac{\frac{x^{2}+5x+4}{x\left(x+2\right)}}{\frac{5\left(x+2\right)}{x\left(x+2\right)}+\frac{xx}{x\left(x+2\right)}}$$

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

$$\frac{\frac{x^{2}+5x+4}{x\left(x+2\right)}}{\frac{5\left(x+2\right)+xx}{x\left(x+2\right)}}$$

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

$$\frac{\frac{x^{2}+5x+4}{x\left(x+2\right)}}{\frac{5x+10+x^{2}}{x\left(x+2\right)}}$$

Iddividi \frac{x^{2}+5x+4}{x\left(x+2\right)} b'\frac{5x+10+x^{2}}{x\left(x+2\right)} billi timmultiplika \frac{x^{2}+5x+4}{x\left(x+2\right)} bir-reċiproku ta' \frac{5x+10+x^{2}}{x\left(x+2\right)}.

$$\frac{\left(x^{2}+5x+4\right)x\left(x+2\right)}{x\left(x+2\right)\left(5x+10+x^{2}\right)}$$

Annulla x\left(x+2\right) fin-numeratur u d-denominatur.

$$\frac{x^{2}+5x+4}{x^{2}+5x+10}$$