Whakaoti i te (6m^3+9n)(6m^3-9n)

$$( 6 m ^ { 3 } + 9 n ) ( 6 m ^ { 3 } - 9 n )$$

Aromātai

$$36m^{6}-81n^{2}$$

Ngā Upane Otinga

Ka taea te whakareanga te panoni ki te rerekētanga o ngā pūrua mā te ture: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\left(6m^{3}\right)^{2}-\left(9n\right)^{2}$$

Whakarohaina te \left(6m^{3}\right)^{2}.

$$6^{2}\left(m^{3}\right)^{2}-\left(9n\right)^{2}$$

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

$$6^{2}m^{6}-\left(9n\right)^{2}$$

Tātaihia te 6 mā te pū o 2, kia riro ko 36.

$$36m^{6}-\left(9n\right)^{2}$$

Whakarohaina te \left(9n\right)^{2}.

$$36m^{6}-9^{2}n^{2}$$

Tātaihia te 9 mā te pū o 2, kia riro ko 81.

$$36m^{6}-81n^{2}$$

Whakaroha

$$36m^{6}-81n^{2}$$

Ngā Upane Otinga

Ka taea te whakareanga te panoni ki te rerekētanga o ngā pūrua mā te ture: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\left(6m^{3}\right)^{2}-\left(9n\right)^{2}$$

Whakarohaina te \left(6m^{3}\right)^{2}.

$$6^{2}\left(m^{3}\right)^{2}-\left(9n\right)^{2}$$

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

$$6^{2}m^{6}-\left(9n\right)^{2}$$

Tātaihia te 6 mā te pū o 2, kia riro ko 36.

$$36m^{6}-\left(9n\right)^{2}$$

Whakarohaina te \left(9n\right)^{2}.

$$36m^{6}-9^{2}n^{2}$$

Tātaihia te 9 mā te pū o 2, kia riro ko 81.

$$36m^{6}-81n^{2}$$