Whakaoti i te (2x^{3}-y^{3})(2x^3+y^3)(4x^6+y^6)

$$( 2 x ^ { 3 } - y ^ { 3 } ) ( 2 x ^ { 3 } + y ^ { 3 } ) ( 4 x ^ { 6 } + y ^ { 6 } )$$

Aromātai

$$16x^{12}-y^{12}$$

Ngā Upane Otinga

Whakamahia te āhuatanga tuaritanga hei whakarea te 2x^{3}-y^{3} ki te 2x^{3}+y^{3} ka whakakotahi i ngā kupu rite.

$$\left(4x^{6}-y^{6}\right)\left(4x^{6}+y^{6}\right)$$

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}.

$$\left(4x^{6}\right)^{2}-\left(y^{6}\right)^{2}$$

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

$$\left(4x^{6}\right)^{2}-y^{12}$$

Whakarohaina te \left(4x^{6}\right)^{2}.

$$4^{2}\left(x^{6}\right)^{2}-y^{12}$$

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

$$4^{2}x^{12}-y^{12}$$

Tātaihia te 4 mā te pū o 2, kia riro ko 16.

$$16x^{12}-y^{12}$$

Whakaroha

$$16x^{12}-y^{12}$$

Ngā Upane Otinga

Whakamahia te āhuatanga tuaritanga hei whakarea te 2x^{3}-y^{3} ki te 2x^{3}+y^{3} ka whakakotahi i ngā kupu rite.

$$\left(4x^{6}-y^{6}\right)\left(4x^{6}+y^{6}\right)$$

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}.

$$\left(4x^{6}\right)^{2}-\left(y^{6}\right)^{2}$$

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

$$\left(4x^{6}\right)^{2}-y^{12}$$

Whakarohaina te \left(4x^{6}\right)^{2}.

$$4^{2}\left(x^{6}\right)^{2}-y^{12}$$

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

$$4^{2}x^{12}-y^{12}$$

Tātaihia te 4 mā te pū o 2, kia riro ko 16.

$$16x^{12}-y^{12}$$