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

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

Aromātai

$$-2$$

Ngā Upane Otinga

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

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

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

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

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

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

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

$$x^{4}-1-x^{4}-1$$

Pahekotia te x^{4} me -x^{4}, ka 0.

$$-1-1$$

Tangohia te 1 i te -1, ka -2.

$$-2$$

Tauwehe

$$-2$$