Datrys 1/3+1/2n+1-1/2n+3

$$\frac { 1 } { 3 } + \frac { 1 } { 2 n + 1 } - \frac { 1 } { 2 n + 3 }$$

Enrhifo

$$\frac{4n^{2}+8n+9}{3\left(2n+1\right)\left(2n+3\right)}$$

Camau Ateb Byr

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

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

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

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

Cyfuno termau tebyg yn 2n+1+3.

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

I ychwanegu neu dynnu mynegiannau, rhaid i chi eu ehangu i wneud eu enwaduron yr un fath. Lluosrif lleiaf cyffredin 3\left(2n+1\right) a 2n+3 yw 3\left(2n+1\right)\left(2n+3\right). Lluoswch \frac{2n+4}{3\left(2n+1\right)} â \frac{2n+3}{2n+3}. Lluoswch \frac{1}{2n+3} â \frac{3\left(2n+1\right)}{3\left(2n+1\right)}.

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

Gan fod gan \frac{\left(2n+4\right)\left(2n+3\right)}{3\left(2n+1\right)\left(2n+3\right)} a \frac{3\left(2n+1\right)}{3\left(2n+1\right)\left(2n+3\right)} yr un dynodydd, tynnwch nhw drwy dynnu eu rhifiaduron.

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

Gwnewch y gwaith lluosi yn \left(2n+4\right)\left(2n+3\right)-3\left(2n+1\right).

$$\frac{4n^{2}+6n+8n+12-6n-3}{3\left(2n+1\right)\left(2n+3\right)}$$

Cyfuno termau tebyg yn 4n^{2}+6n+8n+12-6n-3.

$$\frac{4n^{2}+8n+9}{3\left(2n+1\right)\left(2n+3\right)}$$

Ehangu 3\left(2n+1\right)\left(2n+3\right).

$$\frac{4n^{2}+8n+9}{12n^{2}+24n+9}$$

Ffactor

$$\frac{4n^{2}+8n+9}{3\left(2n+1\right)\left(2n+3\right)}$$