Issolvi 1/x+1/x+18-1/12

$$\frac { 1 } { x } + \frac { 1 } { x + 18 } - \frac { 1 } { 12 }$$

Evalwa

$$-\frac{\left(x-18\right)\left(x+12\right)}{12x\left(x+18\right)}$$

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+18 huwa x\left(x+18\right). Immultiplika \frac{1}{x} b'\frac{x+18}{x+18}. Immultiplika \frac{1}{x+18} b'\frac{x}{x}.

$$\frac{x+18}{x\left(x+18\right)}+\frac{x}{x\left(x+18\right)}-\frac{1}{12}$$

Billi \frac{x+18}{x\left(x+18\right)} u \frac{x}{x\left(x+18\right)} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{x+18+x}{x\left(x+18\right)}-\frac{1}{12}$$

Ikkombina termini simili f'x+18+x.

$$\frac{2x+18}{x\left(x+18\right)}-\frac{1}{12}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' x\left(x+18\right) u 12 huwa 12x\left(x+18\right). Immultiplika \frac{2x+18}{x\left(x+18\right)} b'\frac{12}{12}. Immultiplika \frac{1}{12} b'\frac{x\left(x+18\right)}{x\left(x+18\right)}.

$$\frac{12\left(2x+18\right)}{12x\left(x+18\right)}-\frac{x\left(x+18\right)}{12x\left(x+18\right)}$$

Billi \frac{12\left(2x+18\right)}{12x\left(x+18\right)} u \frac{x\left(x+18\right)}{12x\left(x+18\right)} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{12\left(2x+18\right)-x\left(x+18\right)}{12x\left(x+18\right)}$$

Agħmel il-multiplikazzjonijiet fi 12\left(2x+18\right)-x\left(x+18\right).

$$\frac{24x+216-x^{2}-18x}{12x\left(x+18\right)}$$

Ikkombina termini simili f'24x+216-x^{2}-18x.

$$\frac{6x+216-x^{2}}{12x\left(x+18\right)}$$

Espandi 12x\left(x+18\right).

$$\frac{6x+216-x^{2}}{12x^{2}+216x}$$

Fattur

$$-\frac{\left(x-18\right)\left(x+12\right)}{12x\left(x+18\right)}$$