Datrys 1/x^2+4x+3+1/x^2+8x+15+1/x^2+12x+35

$$\frac { 1 } { x ^ { 2 } + 4 x + 3 } + \frac { 1 } { x ^ { 2 } + 8 x + 15 } + \frac { 1 } { x ^ { 2 } + 12 x + 35 }$$

Enrhifo

$$\frac{3}{\left(x+1\right)\left(x+7\right)}$$

Camau Ateb Byr

Ffactora x^{2}+4x+3. Ffactora x^{2}+8x+15.

$$\frac{1}{\left(x+1\right)\left(x+3\right)}+\frac{1}{\left(x+3\right)\left(x+5\right)}+\frac{1}{x^{2}+12x+35}$$

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+3\right) a \left(x+3\right)\left(x+5\right) yw \left(x+1\right)\left(x+3\right)\left(x+5\right). Lluoswch \frac{1}{\left(x+1\right)\left(x+3\right)} â \frac{x+5}{x+5}. Lluoswch \frac{1}{\left(x+3\right)\left(x+5\right)} â \frac{x+1}{x+1}.

$$\frac{x+5}{\left(x+1\right)\left(x+3\right)\left(x+5\right)}+\frac{x+1}{\left(x+1\right)\left(x+3\right)\left(x+5\right)}+\frac{1}{x^{2}+12x+35}$$

Gan fod gan \frac{x+5}{\left(x+1\right)\left(x+3\right)\left(x+5\right)} a \frac{x+1}{\left(x+1\right)\left(x+3\right)\left(x+5\right)} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

$$\frac{x+5+x+1}{\left(x+1\right)\left(x+3\right)\left(x+5\right)}+\frac{1}{x^{2}+12x+35}$$

Cyfuno termau tebyg yn x+5+x+1.

$$\frac{2x+6}{\left(x+1\right)\left(x+3\right)\left(x+5\right)}+\frac{1}{x^{2}+12x+35}$$

Dylech ffactoreiddio'r mynegiadau sydd heb eu ffactoreiddio eisoes yn \frac{2x+6}{\left(x+1\right)\left(x+3\right)\left(x+5\right)}.

$$\frac{2\left(x+3\right)}{\left(x+1\right)\left(x+3\right)\left(x+5\right)}+\frac{1}{x^{2}+12x+35}$$

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

$$\frac{2}{\left(x+1\right)\left(x+5\right)}+\frac{1}{x^{2}+12x+35}$$

Ffactora x^{2}+12x+35.

$$\frac{2}{\left(x+1\right)\left(x+5\right)}+\frac{1}{\left(x+5\right)\left(x+7\right)}$$

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+5\right) a \left(x+5\right)\left(x+7\right) yw \left(x+1\right)\left(x+5\right)\left(x+7\right). Lluoswch \frac{2}{\left(x+1\right)\left(x+5\right)} â \frac{x+7}{x+7}. Lluoswch \frac{1}{\left(x+5\right)\left(x+7\right)} â \frac{x+1}{x+1}.

$$\frac{2\left(x+7\right)}{\left(x+1\right)\left(x+5\right)\left(x+7\right)}+\frac{x+1}{\left(x+1\right)\left(x+5\right)\left(x+7\right)}$$

Gan fod gan \frac{2\left(x+7\right)}{\left(x+1\right)\left(x+5\right)\left(x+7\right)} a \frac{x+1}{\left(x+1\right)\left(x+5\right)\left(x+7\right)} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

$$\frac{2\left(x+7\right)+x+1}{\left(x+1\right)\left(x+5\right)\left(x+7\right)}$$

Gwnewch y gwaith lluosi yn 2\left(x+7\right)+x+1.

$$\frac{2x+14+x+1}{\left(x+1\right)\left(x+5\right)\left(x+7\right)}$$

Cyfuno termau tebyg yn 2x+14+x+1.

$$\frac{3x+15}{\left(x+1\right)\left(x+5\right)\left(x+7\right)}$$

Dylech ffactoreiddio'r mynegiadau sydd heb eu ffactoreiddio eisoes yn \frac{3x+15}{\left(x+1\right)\left(x+5\right)\left(x+7\right)}.

$$\frac{3\left(x+5\right)}{\left(x+1\right)\left(x+5\right)\left(x+7\right)}$$

Canslo x+5 yn y rhifiadur a'r enwadur.

$$\frac{3}{\left(x+1\right)\left(x+7\right)}$$

Ehangu \left(x+1\right)\left(x+7\right).

$$\frac{3}{x^{2}+8x+7}$$

Gwahaniaethu w.r.t. x

$$\frac{6\left(-x-4\right)}{\left(\left(x+1\right)\left(x+7\right)\right)^{2}}$$