Datrys x^2+1/x^2-1+(x+2/x-2)*(x-1/x+1)

$$\frac { x ^ { 2 } + 1 } { x ^ { 2 } - 1 } + ( \frac { x + 2 } { x - 2 } ) \cdot ( \frac { x - 1 } { x + 1 } )$$

Enrhifo

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

Camau Ateb Byr

Lluoswch \frac{x+2}{x-2} â \frac{x-1}{x+1} drwy luosi'r rhifiadur â’r rhifiadur a'r enwadur â’r enwadur.

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

Ffactora x^{2}-1.

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

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

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

Gan fod gan \frac{\left(x^{2}+1\right)\left(x-2\right)}{\left(x-2\right)\left(x-1\right)\left(x+1\right)} a \frac{\left(x+2\right)\left(x-1\right)\left(x-1\right)}{\left(x-2\right)\left(x-1\right)\left(x+1\right)} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

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

Gwnewch y gwaith lluosi yn \left(x^{2}+1\right)\left(x-2\right)+\left(x+2\right)\left(x-1\right)\left(x-1\right).

$$\frac{x^{3}-2x^{2}+x-2+x^{3}-2x^{2}+x+2x^{2}-4x+2}{\left(x-2\right)\left(x-1\right)\left(x+1\right)}$$

Cyfuno termau tebyg yn x^{3}-2x^{2}+x-2+x^{3}-2x^{2}+x+2x^{2}-4x+2.

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

Ehangu \left(x-2\right)\left(x-1\right)\left(x+1\right).

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

Ehangu

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

Camau Ateb Byr

Lluoswch \frac{x+2}{x-2} â \frac{x-1}{x+1} drwy luosi'r rhifiadur â’r rhifiadur a'r enwadur â’r enwadur.

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

Ffactora x^{2}-1.

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

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

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

Gan fod gan \frac{\left(x^{2}+1\right)\left(x-2\right)}{\left(x-2\right)\left(x-1\right)\left(x+1\right)} a \frac{\left(x+2\right)\left(x-1\right)\left(x-1\right)}{\left(x-2\right)\left(x-1\right)\left(x+1\right)} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

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

Gwnewch y gwaith lluosi yn \left(x^{2}+1\right)\left(x-2\right)+\left(x+2\right)\left(x-1\right)\left(x-1\right).

$$\frac{x^{3}-2x^{2}+x-2+x^{3}-2x^{2}+x+2x^{2}-4x+2}{\left(x-2\right)\left(x-1\right)\left(x+1\right)}$$

Cyfuno termau tebyg yn x^{3}-2x^{2}+x-2+x^{3}-2x^{2}+x+2x^{2}-4x+2.

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

Ehangu \left(x-2\right)\left(x-1\right)\left(x+1\right).

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