Datrys 1/x+1/x+18-1/12

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

Enrhifo

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

Camau Ateb Byr

I ychwanegu neu dynnu mynegiannau, rhaid i chi eu ehangu i wneud eu enwaduron yr un fath. Lluosrif lleiaf cyffredin x a x+18 yw x\left(x+18\right). Lluoswch \frac{1}{x} â \frac{x+18}{x+18}. Lluoswch \frac{1}{x+18} â \frac{x}{x}.

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

Gan fod gan \frac{x+18}{x\left(x+18\right)} a \frac{x}{x\left(x+18\right)} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

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

Cyfuno termau tebyg yn x+18+x.

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

I ychwanegu neu dynnu mynegiannau, rhaid i chi eu ehangu i wneud eu enwaduron yr un fath. Lluosrif lleiaf cyffredin x\left(x+18\right) a 12 yw 12x\left(x+18\right). Lluoswch \frac{2x+18}{x\left(x+18\right)} â \frac{12}{12}. Lluoswch \frac{1}{12} â \frac{x\left(x+18\right)}{x\left(x+18\right)}.

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

Gan fod gan \frac{12\left(2x+18\right)}{12x\left(x+18\right)} a \frac{x\left(x+18\right)}{12x\left(x+18\right)} yr un dynodydd, tynnwch nhw drwy dynnu eu rhifiaduron.

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

Gwnewch y gwaith lluosi yn 12\left(2x+18\right)-x\left(x+18\right).

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

Cyfuno termau tebyg yn 24x+216-x^{2}-18x.

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

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

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

Ffactor

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