Whakaoti i te 1/(2n-1)^2+1/4n^2

$$\frac { 1 } { ( 2 n - 1 ) ^ { 2 } } + \frac { 1 } { 4 n ^ { 2 } }$$

Aromātai

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

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 \left(2n-1\right)^{2} me 4n^{2} ko 4n^{2}\left(2n-1\right)^{2}. Whakareatia \frac{1}{\left(2n-1\right)^{2}} ki te \frac{4n^{2}}{4n^{2}}. Whakareatia \frac{1}{4n^{2}} ki te \frac{\left(2n-1\right)^{2}}{\left(2n-1\right)^{2}}.

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

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

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

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

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

Whakakotahitia ngā kupu rite i 4n^{2}+4n^{2}-4n+1.

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

Whakarohaina te 4n^{2}\left(2n-1\right)^{2}.

$$\frac{8n^{2}-4n+1}{16n^{4}-16n^{3}+4n^{2}}$$

Whakaroha

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

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 \left(2n-1\right)^{2} me 4n^{2} ko 4n^{2}\left(2n-1\right)^{2}. Whakareatia \frac{1}{\left(2n-1\right)^{2}} ki te \frac{4n^{2}}{4n^{2}}. Whakareatia \frac{1}{4n^{2}} ki te \frac{\left(2n-1\right)^{2}}{\left(2n-1\right)^{2}}.

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

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

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

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

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

Whakakotahitia ngā kupu rite i 4n^{2}+4n^{2}-4n+1.

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

Whakarohaina te 4n^{2}\left(2n-1\right)^{2}.

$$\frac{8n^{2}-4n+1}{16n^{4}-16n^{3}+4n^{2}}$$