Datrys (3a/1-3a-2a/3a+1):6a^2+10a/1-6a+9a^2

$$( \frac { 3 a } { 1 - 3 a } - \frac { 2 a } { 3 a + 1 } ) : \frac { 6 a ^ { 2 } + 10 a } { 1 - 6 a + 9 a ^ { 2 } }$$

Enrhifo

$$-\frac{\left(3a-1\right)\left(15a+1\right)}{2\left(3a+1\right)\left(3a+5\right)}$$

Camau Ateb Byr

I ychwanegu neu dynnu mynegiannau, rhaid i chi eu ehangu i wneud eu enwaduron yr un fath. Lluosrif lleiaf cyffredin 1-3a a 3a+1 yw \left(-3a+1\right)\left(3a+1\right). Lluoswch \frac{3a}{1-3a} â \frac{3a+1}{3a+1}. Lluoswch \frac{2a}{3a+1} â \frac{-3a+1}{-3a+1}.

$$\frac{\frac{3a\left(3a+1\right)}{\left(-3a+1\right)\left(3a+1\right)}-\frac{2a\left(-3a+1\right)}{\left(-3a+1\right)\left(3a+1\right)}}{\frac{6a^{2}+10a}{1-6a+9a^{2}}}$$

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

$$\frac{\frac{3a\left(3a+1\right)-2a\left(-3a+1\right)}{\left(-3a+1\right)\left(3a+1\right)}}{\frac{6a^{2}+10a}{1-6a+9a^{2}}}$$

Gwnewch y gwaith lluosi yn 3a\left(3a+1\right)-2a\left(-3a+1\right).

$$\frac{\frac{9a^{2}+3a+6a^{2}-2a}{\left(-3a+1\right)\left(3a+1\right)}}{\frac{6a^{2}+10a}{1-6a+9a^{2}}}$$

Cyfuno termau tebyg yn 9a^{2}+3a+6a^{2}-2a.

$$\frac{\frac{15a^{2}+a}{\left(-3a+1\right)\left(3a+1\right)}}{\frac{6a^{2}+10a}{1-6a+9a^{2}}}$$

Rhannwch \frac{15a^{2}+a}{\left(-3a+1\right)\left(3a+1\right)} â \frac{6a^{2}+10a}{1-6a+9a^{2}} drwy luosi \frac{15a^{2}+a}{\left(-3a+1\right)\left(3a+1\right)} â chilydd \frac{6a^{2}+10a}{1-6a+9a^{2}}.

$$\frac{\left(15a^{2}+a\right)\left(1-6a+9a^{2}\right)}{\left(-3a+1\right)\left(3a+1\right)\left(6a^{2}+10a\right)}$$

Dylech ffactoreiddio'r mynegiadau sydd heb eu ffactoreiddio eto.

$$\frac{a\left(15a+1\right)\left(3a-1\right)^{2}}{2a\left(-3a+1\right)\left(3a+1\right)\left(3a+5\right)}$$

Canslo a yn y rhifiadur a'r enwadur.

$$\frac{\left(15a+1\right)\left(3a-1\right)^{2}}{2\left(-3a+1\right)\left(3a+1\right)\left(3a+5\right)}$$

Ehangwch y mynegiad.

$$\frac{135a^{3}-81a^{2}+9a+1}{-54a^{3}-90a^{2}+6a+10}$$

Dylech ffactoreiddio'r mynegiadau sydd heb eu ffactoreiddio eto.

$$\frac{\left(15a+1\right)\left(3a-1\right)^{2}}{2\left(-3a-1\right)\left(3a-1\right)\left(3a+5\right)}$$

Canslo 3a-1 yn y rhifiadur a'r enwadur.

$$\frac{\left(3a-1\right)\left(15a+1\right)}{2\left(-3a-1\right)\left(3a+5\right)}$$

Ehangwch y mynegiad.

$$\frac{45a^{2}-12a-1}{-18a^{2}-36a-10}$$

Ehangu

$$-\frac{45a^{2}-12a-1}{2\left(3a+1\right)\left(3a+5\right)}$$

Camau Ateb Byr

I ychwanegu neu dynnu mynegiannau, rhaid i chi eu ehangu i wneud eu enwaduron yr un fath. Lluosrif lleiaf cyffredin 1-3a a 3a+1 yw \left(-3a+1\right)\left(3a+1\right). Lluoswch \frac{3a}{1-3a} â \frac{3a+1}{3a+1}. Lluoswch \frac{2a}{3a+1} â \frac{-3a+1}{-3a+1}.

$$\frac{\frac{3a\left(3a+1\right)}{\left(-3a+1\right)\left(3a+1\right)}-\frac{2a\left(-3a+1\right)}{\left(-3a+1\right)\left(3a+1\right)}}{\frac{6a^{2}+10a}{1-6a+9a^{2}}}$$

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

$$\frac{\frac{3a\left(3a+1\right)-2a\left(-3a+1\right)}{\left(-3a+1\right)\left(3a+1\right)}}{\frac{6a^{2}+10a}{1-6a+9a^{2}}}$$

Gwnewch y gwaith lluosi yn 3a\left(3a+1\right)-2a\left(-3a+1\right).

$$\frac{\frac{9a^{2}+3a+6a^{2}-2a}{\left(-3a+1\right)\left(3a+1\right)}}{\frac{6a^{2}+10a}{1-6a+9a^{2}}}$$

Cyfuno termau tebyg yn 9a^{2}+3a+6a^{2}-2a.

$$\frac{\frac{15a^{2}+a}{\left(-3a+1\right)\left(3a+1\right)}}{\frac{6a^{2}+10a}{1-6a+9a^{2}}}$$

Rhannwch \frac{15a^{2}+a}{\left(-3a+1\right)\left(3a+1\right)} â \frac{6a^{2}+10a}{1-6a+9a^{2}} drwy luosi \frac{15a^{2}+a}{\left(-3a+1\right)\left(3a+1\right)} â chilydd \frac{6a^{2}+10a}{1-6a+9a^{2}}.

$$\frac{\left(15a^{2}+a\right)\left(1-6a+9a^{2}\right)}{\left(-3a+1\right)\left(3a+1\right)\left(6a^{2}+10a\right)}$$

Dylech ffactoreiddio'r mynegiadau sydd heb eu ffactoreiddio eto.

$$\frac{a\left(15a+1\right)\left(3a-1\right)^{2}}{2a\left(-3a+1\right)\left(3a+1\right)\left(3a+5\right)}$$

Canslo a yn y rhifiadur a'r enwadur.

$$\frac{\left(15a+1\right)\left(3a-1\right)^{2}}{2\left(-3a+1\right)\left(3a+1\right)\left(3a+5\right)}$$

Ehangwch y mynegiad.

$$\frac{135a^{3}-81a^{2}+9a+1}{-54a^{3}-90a^{2}+6a+10}$$

Dylech ffactoreiddio'r mynegiadau sydd heb eu ffactoreiddio eto.

$$\frac{\left(15a+1\right)\left(3a-1\right)^{2}}{2\left(-3a-1\right)\left(3a-1\right)\left(3a+5\right)}$$

Canslo 3a-1 yn y rhifiadur a'r enwadur.

$$\frac{\left(3a-1\right)\left(15a+1\right)}{2\left(-3a-1\right)\left(3a+5\right)}$$

Ehangwch y mynegiad.

$$\frac{45a^{2}-12a-1}{-18a^{2}-36a-10}$$