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

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

Evalwa

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

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{1}{x} b'\frac{x+1}{x+1}. Immultiplika \frac{1}{x+1} b'\frac{x}{x}.

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

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

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

Ikkombina termini simili f'x+1-x.

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

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{1}{x} b'\frac{x+1}{x+1}. Immultiplika \frac{1}{x+1} b'\frac{x}{x}.

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

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

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

Ikkombina termini simili f'x+1+x.

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

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

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

Annulla x\left(x+1\right) fin-numeratur u d-denominatur.

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

Espandi

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

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{1}{x} b'\frac{x+1}{x+1}. Immultiplika \frac{1}{x+1} b'\frac{x}{x}.

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

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

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

Ikkombina termini simili f'x+1-x.

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

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{1}{x} b'\frac{x+1}{x+1}. Immultiplika \frac{1}{x+1} b'\frac{x}{x}.

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

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

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

Ikkombina termini simili f'x+1+x.

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

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

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

Annulla x\left(x+1\right) fin-numeratur u d-denominatur.

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