Whakaoti i te 1/3+1/2n+1-1/2n+3

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

Aromātai

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

Ngā Hipanga Rongoā Poto

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o 3 me 2n+1 ko 3\left(2n+1\right). Whakareatia \frac{1}{3} ki te \frac{2n+1}{2n+1}. Whakareatia \frac{1}{2n+1} ki te \frac{3}{3}.

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

Tā te mea he rite te tauraro o \frac{2n+1}{3\left(2n+1\right)} me \frac{3}{3\left(2n+1\right)}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

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

Whakakotahitia ngā kupu rite i 2n+1+3.

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

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o 3\left(2n+1\right) me 2n+3 ko 3\left(2n+1\right)\left(2n+3\right). Whakareatia \frac{2n+4}{3\left(2n+1\right)} ki te \frac{2n+3}{2n+3}. Whakareatia \frac{1}{2n+3} ki te \frac{3\left(2n+1\right)}{3\left(2n+1\right)}.

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

Tā te mea he rite te tauraro o \frac{\left(2n+4\right)\left(2n+3\right)}{3\left(2n+1\right)\left(2n+3\right)} me \frac{3\left(2n+1\right)}{3\left(2n+1\right)\left(2n+3\right)}, me tango rāua mā te tango i ō raua taurunga.

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

Mahia ngā whakarea i roto o \left(2n+4\right)\left(2n+3\right)-3\left(2n+1\right).

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

Whakakotahitia ngā kupu rite i 4n^{2}+6n+8n+12-6n-3.

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

Whakarohaina te 3\left(2n+1\right)\left(2n+3\right).

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

Tauwehe

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