Whakaoti i te (122x/14+x^21356x/1841x)*x^2/3567

$$( \frac{ 122x }{ 14 } + { x }^{ 2 } \frac { 1356x } { 1841x } ) \times \frac{ { x }^{ 2 } }{ 3567 }$$

Aromātai

$$\frac{\left(1356x+16043\right)x^{3}}{6566847}$$

Ngā Hipanga Rongoā Poto

Whakawehea te 122x ki te 14, kia riro ko \frac{61}{7}x.

$$\left(\frac{61}{7}x+x^{2}\times \frac{1356x}{1841x}\right)\times \frac{x^{2}}{3567}$$

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

$$\left(\frac{61}{7}x+x^{2}\times \frac{1356}{1841}\right)\times \frac{x^{2}}{3567}$$

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{61}{7}x+x^{2}\times \frac{1356}{1841} ki te \frac{x^{2}}{3567}.

$$\frac{61}{7}x\times \frac{x^{2}}{3567}+\frac{1356}{1841}x^{2}\times \frac{x^{2}}{3567}$$

Me whakarea te \frac{61}{7} ki te \frac{x^{2}}{3567} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{61x^{2}}{7\times 3567}x+\frac{1356}{1841}x^{2}\times \frac{x^{2}}{3567}$$

Me whakarea te \frac{1356}{1841} ki te \frac{x^{2}}{3567} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{61x^{2}}{7\times 3567}x+\frac{1356x^{2}}{1841\times 3567}x^{2}$$

Me whakakore tahi te 3 i te taurunga me te tauraro.

$$\frac{61x^{2}}{7\times 3567}x+\frac{452x^{2}}{1189\times 1841}x^{2}$$

Whakareatia te 7 ki te 3567, ka 24969.

$$\frac{61x^{2}}{24969}x+\frac{452x^{2}}{1189\times 1841}x^{2}$$

Tuhia te \frac{61x^{2}}{24969}x hei hautanga kotahi.

$$\frac{61x^{2}x}{24969}+\frac{452x^{2}}{1189\times 1841}x^{2}$$

Whakareatia te 1189 ki te 1841, ka 2188949.

$$\frac{61x^{2}x}{24969}+\frac{452x^{2}}{2188949}x^{2}$$

Tuhia te \frac{452x^{2}}{2188949}x^{2} hei hautanga kotahi.

$$\frac{61x^{2}x}{24969}+\frac{452x^{2}x^{2}}{2188949}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o 24969 me 2188949 ko 6566847. Whakareatia \frac{61x^{2}x}{24969} ki te \frac{263}{263}. Whakareatia \frac{452x^{2}x^{2}}{2188949} ki te \frac{3}{3}.

$$\frac{263\times 61x^{2}x}{6566847}+\frac{3\times 452x^{2}x^{2}}{6566847}$$

Tā te mea he rite te tauraro o \frac{263\times 61x^{2}x}{6566847} me \frac{3\times 452x^{2}x^{2}}{6566847}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{263\times 61x^{2}x+3\times 452x^{2}x^{2}}{6566847}$$

Mahia ngā whakarea i roto o 263\times 61x^{2}x+3\times 452x^{2}x^{2}.

$$\frac{16043x^{3}+1356x^{4}}{6566847}$$

Whakaroha

$$\frac{452x^{4}}{2188949}+\frac{61x^{3}}{24969}$$

Ngā Hipanga Rongoā Poto

Whakawehea te 122x ki te 14, kia riro ko \frac{61}{7}x.

$$\left(\frac{61}{7}x+x^{2}\times \frac{1356x}{1841x}\right)\times \frac{x^{2}}{3567}$$

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

$$\left(\frac{61}{7}x+x^{2}\times \frac{1356}{1841}\right)\times \frac{x^{2}}{3567}$$

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{61}{7}x+x^{2}\times \frac{1356}{1841} ki te \frac{x^{2}}{3567}.

$$\frac{61}{7}x\times \frac{x^{2}}{3567}+\frac{1356}{1841}x^{2}\times \frac{x^{2}}{3567}$$

Me whakarea te \frac{61}{7} ki te \frac{x^{2}}{3567} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{61x^{2}}{7\times 3567}x+\frac{1356}{1841}x^{2}\times \frac{x^{2}}{3567}$$

Me whakarea te \frac{1356}{1841} ki te \frac{x^{2}}{3567} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{61x^{2}}{7\times 3567}x+\frac{1356x^{2}}{1841\times 3567}x^{2}$$

Me whakakore tahi te 3 i te taurunga me te tauraro.

$$\frac{61x^{2}}{7\times 3567}x+\frac{452x^{2}}{1189\times 1841}x^{2}$$

Whakareatia te 7 ki te 3567, ka 24969.

$$\frac{61x^{2}}{24969}x+\frac{452x^{2}}{1189\times 1841}x^{2}$$

Tuhia te \frac{61x^{2}}{24969}x hei hautanga kotahi.

$$\frac{61x^{2}x}{24969}+\frac{452x^{2}}{1189\times 1841}x^{2}$$

Whakareatia te 1189 ki te 1841, ka 2188949.

$$\frac{61x^{2}x}{24969}+\frac{452x^{2}}{2188949}x^{2}$$

Tuhia te \frac{452x^{2}}{2188949}x^{2} hei hautanga kotahi.

$$\frac{61x^{2}x}{24969}+\frac{452x^{2}x^{2}}{2188949}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o 24969 me 2188949 ko 6566847. Whakareatia \frac{61x^{2}x}{24969} ki te \frac{263}{263}. Whakareatia \frac{452x^{2}x^{2}}{2188949} ki te \frac{3}{3}.

$$\frac{263\times 61x^{2}x}{6566847}+\frac{3\times 452x^{2}x^{2}}{6566847}$$

Tā te mea he rite te tauraro o \frac{263\times 61x^{2}x}{6566847} me \frac{3\times 452x^{2}x^{2}}{6566847}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{263\times 61x^{2}x+3\times 452x^{2}x^{2}}{6566847}$$

Mahia ngā whakarea i roto o 263\times 61x^{2}x+3\times 452x^{2}x^{2}.

$$\frac{16043x^{3}+1356x^{4}}{6566847}$$