Whakaoti i te (5a^2+3b)(5a^2-3b)

$$( 5 a ^ { 2 } + 3 b ) ( 5 a ^ { 2 } - 3 b )$$

Aromātai

$$25a^{4}-9b^{2}$$

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}.

$$\left(5a^{2}\right)^{2}-\left(3b\right)^{2}$$

Whakarohaina te \left(5a^{2}\right)^{2}.

$$5^{2}\left(a^{2}\right)^{2}-\left(3b\right)^{2}$$

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

$$5^{2}a^{4}-\left(3b\right)^{2}$$

Tātaihia te 5 mā te pū o 2, kia riro ko 25.

$$25a^{4}-\left(3b\right)^{2}$$

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

$$25a^{4}-3^{2}b^{2}$$

Tātaihia te 3 mā te pū o 2, kia riro ko 9.

$$25a^{4}-9b^{2}$$

Whakaroha

$$25a^{4}-9b^{2}$$

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}.

$$\left(5a^{2}\right)^{2}-\left(3b\right)^{2}$$

Whakarohaina te \left(5a^{2}\right)^{2}.

$$5^{2}\left(a^{2}\right)^{2}-\left(3b\right)^{2}$$

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

$$5^{2}a^{4}-\left(3b\right)^{2}$$

Tātaihia te 5 mā te pū o 2, kia riro ko 25.

$$25a^{4}-\left(3b\right)^{2}$$

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

$$25a^{4}-3^{2}b^{2}$$

Tātaihia te 3 mā te pū o 2, kia riro ko 9.

$$25a^{4}-9b^{2}$$