Whakaoti i te 2n/n+2n+m/2n-m+4mn/4n^2-n^2

$$\frac { 2 n } { n + 2 n } + \frac { m } { 2 n - m } + \frac { 4 m n } { 4 n ^ { 2 } - n ^ { 2 } }$$

Aromātai

$$\frac{4n^{2}+9mn-4m^{2}}{3n\left(2n-m\right)}$$

Ngā Hipanga Rongoā Poto

Pahekotia te n me 2n, ka 3n.

$$\frac{2n}{3n}+\frac{m}{2n-m}+\frac{4mn}{4n^{2}-n^{2}}$$

Me whakakore tahi te n i te taurunga me te tauraro.

$$\frac{2}{3}+\frac{m}{2n-m}+\frac{4mn}{4n^{2}-n^{2}}$$

Pahekotia te 4n^{2} me -n^{2}, ka 3n^{2}.

$$\frac{2}{3}+\frac{m}{2n-m}+\frac{4mn}{3n^{2}}$$

Me whakakore tahi te n i te taurunga me te tauraro.

$$\frac{2}{3}+\frac{m}{2n-m}+\frac{4m}{3n}$$

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

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

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

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

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

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

Whakakotahitia ngā kupu rite i -2m+4n+3m.

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

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

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

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

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

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

$$\frac{mn+4n^{2}-4m^{2}+8mn}{3n\left(-m+2n\right)}$$

Whakakotahitia ngā kupu rite i mn+4n^{2}-4m^{2}+8mn.

$$\frac{-4m^{2}+9mn+4n^{2}}{3n\left(-m+2n\right)}$$

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

$$\frac{-4m^{2}+9mn+4n^{2}}{-3mn+6n^{2}}$$

Kimi Pārōnaki e ai ki m

$$\frac{2\left(-2m^{2}+8mn-11n^{2}\right)}{3n\left(m-2n\right)\left(2n-m\right)}$$