Whakaoti i te (4)a^4-(1-a)(1+a)(1+a^2)

$$( 4 ) a ^ { 4 } - ( 1 - a ) ( 1 + a ) ( 1 + a ^ { 2 } )$$

Aromātai

$$5a^{4}-1$$

Ngā Upane Otinga

Whakamahia te āhuatanga tuaritanga hei whakarea te 1-a ki te 1+a ka whakakotahi i ngā kupu rite.

$$4a^{4}-\left(1-a^{2}\right)\left(1+a^{2}\right)$$

Whakaarohia te \left(1-a^{2}\right)\left(1+a^{2}\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}. Pūrua 1.

$$4a^{4}-\left(1-\left(a^{2}\right)^{2}\right)$$

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

$$4a^{4}-\left(1-a^{4}\right)$$

Hei kimi i te tauaro o 1-a^{4}, kimihia te tauaro o ia taurangi.

$$4a^{4}-1+a^{4}$$

Pahekotia te 4a^{4} me a^{4}, ka 5a^{4}.

$$5a^{4}-1$$

Whakaroha

$$5a^{4}-1$$

Ngā Upane Otinga

Whakamahia te āhuatanga tuaritanga hei whakarea te 1-a ki te 1+a ka whakakotahi i ngā kupu rite.

$$4a^{4}-\left(1-a^{2}\right)\left(1+a^{2}\right)$$

Whakaarohia te \left(1-a^{2}\right)\left(1+a^{2}\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}. Pūrua 1.

$$4a^{4}-\left(1-\left(a^{2}\right)^{2}\right)$$

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

$$4a^{4}-\left(1-a^{4}\right)$$

Hei kimi i te tauaro o 1-a^{4}, kimihia te tauaro o ia taurangi.

$$4a^{4}-1+a^{4}$$

Pahekotia te 4a^{4} me a^{4}, ka 5a^{4}.

$$5a^{4}-1$$