Whakaoti i te [4(-1/2a^{2}b)^{3}]^{2}+5(-1/2a^{4}b^{2})^{3}+19(-1/2a^{3}b^2)^2(1/2a^6b^2)

$$[ 4 ( - \frac { 1 } { 2 } a ^ { 2 } b ) ^ { 3 } ] ^ { 2 } + 5 ( - \frac { 1 } { 2 } a ^ { 4 } b ^ { 2 } ) ^ { 3 } + 19 ( - \frac { 1 } { 2 } a ^ { 3 } b ^ { 2 } ) ^ { 2 } ( \frac { 1 } { 2 } a ^ { 6 } b ^ { 2 } )$$

Aromātai

$$2b^{6}a^{12}$$

Ngā Upane Otinga

Whakarohaina te \left(-\frac{1}{2}a^{2}b\right)^{3}.

$$\left(4\left(-\frac{1}{2}\right)^{3}\left(a^{2}\right)^{3}b^{3}\right)^{2}+5\left(-\frac{1}{2}a^{4}b^{2}\right)^{3}+19\left(-\frac{1}{2}a^{3}b^{2}\right)^{2}\times \frac{1}{2}a^{6}b^{2}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te 3 kia riro ai te 6.

$$\left(4\left(-\frac{1}{2}\right)^{3}a^{6}b^{3}\right)^{2}+5\left(-\frac{1}{2}a^{4}b^{2}\right)^{3}+19\left(-\frac{1}{2}a^{3}b^{2}\right)^{2}\times \frac{1}{2}a^{6}b^{2}$$

Tātaihia te -\frac{1}{2} mā te pū o 3, kia riro ko -\frac{1}{8}.

$$\left(4\left(-\frac{1}{8}\right)a^{6}b^{3}\right)^{2}+5\left(-\frac{1}{2}a^{4}b^{2}\right)^{3}+19\left(-\frac{1}{2}a^{3}b^{2}\right)^{2}\times \frac{1}{2}a^{6}b^{2}$$

Whakareatia te 4 ki te -\frac{1}{8}, ka -\frac{1}{2}.

$$\left(-\frac{1}{2}a^{6}b^{3}\right)^{2}+5\left(-\frac{1}{2}a^{4}b^{2}\right)^{3}+19\left(-\frac{1}{2}a^{3}b^{2}\right)^{2}\times \frac{1}{2}a^{6}b^{2}$$

Whakarohaina te \left(-\frac{1}{2}a^{6}b^{3}\right)^{2}.

$$\left(-\frac{1}{2}\right)^{2}\left(a^{6}\right)^{2}\left(b^{3}\right)^{2}+5\left(-\frac{1}{2}a^{4}b^{2}\right)^{3}+19\left(-\frac{1}{2}a^{3}b^{2}\right)^{2}\times \frac{1}{2}a^{6}b^{2}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 6 me te 2 kia riro ai te 12.

$$\left(-\frac{1}{2}\right)^{2}a^{12}\left(b^{3}\right)^{2}+5\left(-\frac{1}{2}a^{4}b^{2}\right)^{3}+19\left(-\frac{1}{2}a^{3}b^{2}\right)^{2}\times \frac{1}{2}a^{6}b^{2}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 3 me te 2 kia riro ai te 6.

$$\left(-\frac{1}{2}\right)^{2}a^{12}b^{6}+5\left(-\frac{1}{2}a^{4}b^{2}\right)^{3}+19\left(-\frac{1}{2}a^{3}b^{2}\right)^{2}\times \frac{1}{2}a^{6}b^{2}$$

Tātaihia te -\frac{1}{2} mā te pū o 2, kia riro ko \frac{1}{4}.

$$\frac{1}{4}a^{12}b^{6}+5\left(-\frac{1}{2}a^{4}b^{2}\right)^{3}+19\left(-\frac{1}{2}a^{3}b^{2}\right)^{2}\times \frac{1}{2}a^{6}b^{2}$$

Whakarohaina te \left(-\frac{1}{2}a^{4}b^{2}\right)^{3}.

$$\frac{1}{4}a^{12}b^{6}+5\left(-\frac{1}{2}\right)^{3}\left(a^{4}\right)^{3}\left(b^{2}\right)^{3}+19\left(-\frac{1}{2}a^{3}b^{2}\right)^{2}\times \frac{1}{2}a^{6}b^{2}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 4 me te 3 kia riro ai te 12.

$$\frac{1}{4}a^{12}b^{6}+5\left(-\frac{1}{2}\right)^{3}a^{12}\left(b^{2}\right)^{3}+19\left(-\frac{1}{2}a^{3}b^{2}\right)^{2}\times \frac{1}{2}a^{6}b^{2}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te 3 kia riro ai te 6.

$$\frac{1}{4}a^{12}b^{6}+5\left(-\frac{1}{2}\right)^{3}a^{12}b^{6}+19\left(-\frac{1}{2}a^{3}b^{2}\right)^{2}\times \frac{1}{2}a^{6}b^{2}$$

Tātaihia te -\frac{1}{2} mā te pū o 3, kia riro ko -\frac{1}{8}.

$$\frac{1}{4}a^{12}b^{6}+5\left(-\frac{1}{8}\right)a^{12}b^{6}+19\left(-\frac{1}{2}a^{3}b^{2}\right)^{2}\times \frac{1}{2}a^{6}b^{2}$$

Whakareatia te 5 ki te -\frac{1}{8}, ka -\frac{5}{8}.

$$\frac{1}{4}a^{12}b^{6}-\frac{5}{8}a^{12}b^{6}+19\left(-\frac{1}{2}a^{3}b^{2}\right)^{2}\times \frac{1}{2}a^{6}b^{2}$$

Pahekotia te \frac{1}{4}a^{12}b^{6} me -\frac{5}{8}a^{12}b^{6}, ka -\frac{3}{8}a^{12}b^{6}.

$$-\frac{3}{8}a^{12}b^{6}+19\left(-\frac{1}{2}a^{3}b^{2}\right)^{2}\times \frac{1}{2}a^{6}b^{2}$$

Whakarohaina te \left(-\frac{1}{2}a^{3}b^{2}\right)^{2}.

$$-\frac{3}{8}a^{12}b^{6}+19\left(-\frac{1}{2}\right)^{2}\left(a^{3}\right)^{2}\left(b^{2}\right)^{2}\times \frac{1}{2}a^{6}b^{2}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 3 me te 2 kia riro ai te 6.

$$-\frac{3}{8}a^{12}b^{6}+19\left(-\frac{1}{2}\right)^{2}a^{6}\left(b^{2}\right)^{2}\times \frac{1}{2}a^{6}b^{2}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te 2 kia riro ai te 4.

$$-\frac{3}{8}a^{12}b^{6}+19\left(-\frac{1}{2}\right)^{2}a^{6}b^{4}\times \frac{1}{2}a^{6}b^{2}$$

Tātaihia te -\frac{1}{2} mā te pū o 2, kia riro ko \frac{1}{4}.

$$-\frac{3}{8}a^{12}b^{6}+19\times \frac{1}{4}a^{6}b^{4}\times \frac{1}{2}a^{6}b^{2}$$

Whakareatia te 19 ki te \frac{1}{4}, ka \frac{19}{4}.

$$-\frac{3}{8}a^{12}b^{6}+\frac{19}{4}a^{6}b^{4}\times \frac{1}{2}a^{6}b^{2}$$

Whakareatia te \frac{19}{4} ki te \frac{1}{2}, ka \frac{19}{8}.

$$-\frac{3}{8}a^{12}b^{6}+\frac{19}{8}a^{6}b^{4}a^{6}b^{2}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 6 me te 6 kia riro ai te 12.

$$-\frac{3}{8}a^{12}b^{6}+\frac{19}{8}a^{12}b^{4}b^{2}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 4 me te 2 kia riro ai te 6.

$$-\frac{3}{8}a^{12}b^{6}+\frac{19}{8}a^{12}b^{6}$$

Pahekotia te -\frac{3}{8}a^{12}b^{6} me \frac{19}{8}a^{12}b^{6}, ka 2a^{12}b^{6}.

$$2a^{12}b^{6}$$

Whakaroha

$$2b^{6}a^{12}$$

Ngā Upane Otinga

Whakarohaina te \left(-\frac{1}{2}a^{2}b\right)^{3}.

$$\left(4\left(-\frac{1}{2}\right)^{3}\left(a^{2}\right)^{3}b^{3}\right)^{2}+5\left(-\frac{1}{2}a^{4}b^{2}\right)^{3}+19\left(-\frac{1}{2}a^{3}b^{2}\right)^{2}\times \frac{1}{2}a^{6}b^{2}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te 3 kia riro ai te 6.

$$\left(4\left(-\frac{1}{2}\right)^{3}a^{6}b^{3}\right)^{2}+5\left(-\frac{1}{2}a^{4}b^{2}\right)^{3}+19\left(-\frac{1}{2}a^{3}b^{2}\right)^{2}\times \frac{1}{2}a^{6}b^{2}$$

Tātaihia te -\frac{1}{2} mā te pū o 3, kia riro ko -\frac{1}{8}.

$$\left(4\left(-\frac{1}{8}\right)a^{6}b^{3}\right)^{2}+5\left(-\frac{1}{2}a^{4}b^{2}\right)^{3}+19\left(-\frac{1}{2}a^{3}b^{2}\right)^{2}\times \frac{1}{2}a^{6}b^{2}$$

Whakareatia te 4 ki te -\frac{1}{8}, ka -\frac{1}{2}.

$$\left(-\frac{1}{2}a^{6}b^{3}\right)^{2}+5\left(-\frac{1}{2}a^{4}b^{2}\right)^{3}+19\left(-\frac{1}{2}a^{3}b^{2}\right)^{2}\times \frac{1}{2}a^{6}b^{2}$$

Whakarohaina te \left(-\frac{1}{2}a^{6}b^{3}\right)^{2}.

$$\left(-\frac{1}{2}\right)^{2}\left(a^{6}\right)^{2}\left(b^{3}\right)^{2}+5\left(-\frac{1}{2}a^{4}b^{2}\right)^{3}+19\left(-\frac{1}{2}a^{3}b^{2}\right)^{2}\times \frac{1}{2}a^{6}b^{2}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 6 me te 2 kia riro ai te 12.

$$\left(-\frac{1}{2}\right)^{2}a^{12}\left(b^{3}\right)^{2}+5\left(-\frac{1}{2}a^{4}b^{2}\right)^{3}+19\left(-\frac{1}{2}a^{3}b^{2}\right)^{2}\times \frac{1}{2}a^{6}b^{2}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 3 me te 2 kia riro ai te 6.

$$\left(-\frac{1}{2}\right)^{2}a^{12}b^{6}+5\left(-\frac{1}{2}a^{4}b^{2}\right)^{3}+19\left(-\frac{1}{2}a^{3}b^{2}\right)^{2}\times \frac{1}{2}a^{6}b^{2}$$

Tātaihia te -\frac{1}{2} mā te pū o 2, kia riro ko \frac{1}{4}.

$$\frac{1}{4}a^{12}b^{6}+5\left(-\frac{1}{2}a^{4}b^{2}\right)^{3}+19\left(-\frac{1}{2}a^{3}b^{2}\right)^{2}\times \frac{1}{2}a^{6}b^{2}$$

Whakarohaina te \left(-\frac{1}{2}a^{4}b^{2}\right)^{3}.

$$\frac{1}{4}a^{12}b^{6}+5\left(-\frac{1}{2}\right)^{3}\left(a^{4}\right)^{3}\left(b^{2}\right)^{3}+19\left(-\frac{1}{2}a^{3}b^{2}\right)^{2}\times \frac{1}{2}a^{6}b^{2}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 4 me te 3 kia riro ai te 12.

$$\frac{1}{4}a^{12}b^{6}+5\left(-\frac{1}{2}\right)^{3}a^{12}\left(b^{2}\right)^{3}+19\left(-\frac{1}{2}a^{3}b^{2}\right)^{2}\times \frac{1}{2}a^{6}b^{2}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te 3 kia riro ai te 6.

$$\frac{1}{4}a^{12}b^{6}+5\left(-\frac{1}{2}\right)^{3}a^{12}b^{6}+19\left(-\frac{1}{2}a^{3}b^{2}\right)^{2}\times \frac{1}{2}a^{6}b^{2}$$

Tātaihia te -\frac{1}{2} mā te pū o 3, kia riro ko -\frac{1}{8}.

$$\frac{1}{4}a^{12}b^{6}+5\left(-\frac{1}{8}\right)a^{12}b^{6}+19\left(-\frac{1}{2}a^{3}b^{2}\right)^{2}\times \frac{1}{2}a^{6}b^{2}$$

Whakareatia te 5 ki te -\frac{1}{8}, ka -\frac{5}{8}.

$$\frac{1}{4}a^{12}b^{6}-\frac{5}{8}a^{12}b^{6}+19\left(-\frac{1}{2}a^{3}b^{2}\right)^{2}\times \frac{1}{2}a^{6}b^{2}$$

Pahekotia te \frac{1}{4}a^{12}b^{6} me -\frac{5}{8}a^{12}b^{6}, ka -\frac{3}{8}a^{12}b^{6}.

$$-\frac{3}{8}a^{12}b^{6}+19\left(-\frac{1}{2}a^{3}b^{2}\right)^{2}\times \frac{1}{2}a^{6}b^{2}$$

Whakarohaina te \left(-\frac{1}{2}a^{3}b^{2}\right)^{2}.

$$-\frac{3}{8}a^{12}b^{6}+19\left(-\frac{1}{2}\right)^{2}\left(a^{3}\right)^{2}\left(b^{2}\right)^{2}\times \frac{1}{2}a^{6}b^{2}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 3 me te 2 kia riro ai te 6.

$$-\frac{3}{8}a^{12}b^{6}+19\left(-\frac{1}{2}\right)^{2}a^{6}\left(b^{2}\right)^{2}\times \frac{1}{2}a^{6}b^{2}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te 2 kia riro ai te 4.

$$-\frac{3}{8}a^{12}b^{6}+19\left(-\frac{1}{2}\right)^{2}a^{6}b^{4}\times \frac{1}{2}a^{6}b^{2}$$

Tātaihia te -\frac{1}{2} mā te pū o 2, kia riro ko \frac{1}{4}.

$$-\frac{3}{8}a^{12}b^{6}+19\times \frac{1}{4}a^{6}b^{4}\times \frac{1}{2}a^{6}b^{2}$$

Whakareatia te 19 ki te \frac{1}{4}, ka \frac{19}{4}.

$$-\frac{3}{8}a^{12}b^{6}+\frac{19}{4}a^{6}b^{4}\times \frac{1}{2}a^{6}b^{2}$$

Whakareatia te \frac{19}{4} ki te \frac{1}{2}, ka \frac{19}{8}.

$$-\frac{3}{8}a^{12}b^{6}+\frac{19}{8}a^{6}b^{4}a^{6}b^{2}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 6 me te 6 kia riro ai te 12.

$$-\frac{3}{8}a^{12}b^{6}+\frac{19}{8}a^{12}b^{4}b^{2}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 4 me te 2 kia riro ai te 6.

$$-\frac{3}{8}a^{12}b^{6}+\frac{19}{8}a^{12}b^{6}$$

Pahekotia te -\frac{3}{8}a^{12}b^{6} me \frac{19}{8}a^{12}b^{6}, ka 2a^{12}b^{6}.

$$2a^{12}b^{6}$$