Datrys f(x)=(x^2+4x+3/x^2+2x-3-x^2+2x+1/x^2+3x+2)*x+2/x+1

$$f ( x ) = ( \frac { x ^ { 2 } + 4 x + 3 } { x ^ { 2 } + 2 x - 3 } - \frac { x ^ { 2 } + 2 x + 1 } { x ^ { 2 } + 3 x + 2 } ) \cdot \frac { x + 2 } { x + 1 }$$

Enrhifo

$$\frac{3}{x-1}$$

Camau Ateb Byr

Dylech ffactoreiddio'r mynegiadau sydd heb eu ffactoreiddio eisoes yn \frac{x^{2}+4x+3}{x^{2}+2x-3}.

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

Canslo x+3 yn y rhifiadur a'r enwadur.

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

Dylech ffactoreiddio'r mynegiadau sydd heb eu ffactoreiddio eisoes yn \frac{x^{2}+2x+1}{x^{2}+3x+2}.

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

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

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

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

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

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

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

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

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

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

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

Lluoswch \frac{3x+3}{\left(x-1\right)\left(x+2\right)} â \frac{x+2}{x+1} drwy luosi'r rhifiadur â’r rhifiadur a'r enwadur â’r enwadur.

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

Canslo x+2 yn y rhifiadur a'r enwadur.

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

Dylech ffactoreiddio'r mynegiadau sydd heb eu ffactoreiddio eto.

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

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

$$\frac{3}{x-1}$$

Ehangu

$$\frac{3}{x-1}$$

Camau Ateb Byr

Dylech ffactoreiddio'r mynegiadau sydd heb eu ffactoreiddio eisoes yn \frac{x^{2}+4x+3}{x^{2}+2x-3}.

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

Canslo x+3 yn y rhifiadur a'r enwadur.

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

Dylech ffactoreiddio'r mynegiadau sydd heb eu ffactoreiddio eisoes yn \frac{x^{2}+2x+1}{x^{2}+3x+2}.

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

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

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

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

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

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

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

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

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

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

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

Lluoswch \frac{3x+3}{\left(x-1\right)\left(x+2\right)} â \frac{x+2}{x+1} drwy luosi'r rhifiadur â’r rhifiadur a'r enwadur â’r enwadur.

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

Canslo x+2 yn y rhifiadur a'r enwadur.

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

Dylech ffactoreiddio'r mynegiadau sydd heb eu ffactoreiddio eto.

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

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

$$\frac{3}{x-1}$$