Datrys x-2/x^2-x+1-1/x+1+x^2+x+3/x^3+1

$$\frac{ x-2 }{ { x }^{ 2 } -x+1 } - \frac{ 1 }{ x+1 } + \frac{ { x }^{ 2 } +x+3 }{ { x }^{ 3 } +1 }$$

Enrhifo

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

Camau Ateb Byr

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

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

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

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

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

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

Cyfuno termau tebyg yn x^{2}+x-2x-2-x^{2}+x-1.

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

Ffactora x^{3}+1.

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

Gan fod gan \frac{-3}{\left(x+1\right)\left(x^{2}-x+1\right)} a \frac{x^{2}+x+3}{\left(x+1\right)\left(x^{2}-x+1\right)} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

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

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

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

Dylech ffactoreiddio'r mynegiadau sydd heb eu ffactoreiddio eisoes yn \frac{x^{2}+x}{\left(x+1\right)\left(x^{2}-x+1\right)}.

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

Canslo x+1 yn y rhifiadur a'r enwadur.

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

Ehangu

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

Camau Ateb Byr

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

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

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

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

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

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

Cyfuno termau tebyg yn x^{2}+x-2x-2-x^{2}+x-1.

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

Ffactora x^{3}+1.

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

Gan fod gan \frac{-3}{\left(x+1\right)\left(x^{2}-x+1\right)} a \frac{x^{2}+x+3}{\left(x+1\right)\left(x^{2}-x+1\right)} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

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

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

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

Dylech ffactoreiddio'r mynegiadau sydd heb eu ffactoreiddio eisoes yn \frac{x^{2}+x}{\left(x+1\right)\left(x^{2}-x+1\right)}.

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

Canslo x+1 yn y rhifiadur a'r enwadur.

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