Whakaoti i te 32-2x^16

$$32 - 2 x ^ { 16 }$$

Tauwehe

$$2\left(x^{4}-2\right)\left(x^{4}+2\right)\left(-x^{8}-4\right)$$

Ngā Upane Otinga

Tauwehea te 2.

$$2\left(16-x^{16}\right)$$

Whakaarohia te 16-x^{16}. Tuhia anō te 16-x^{16} hei 4^{2}-\left(-x^{8}\right)^{2}. Ka taea te rerekētanga o ngā pūrua te whakatauwehe mā te ture: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(4+x^{8}\right)\left(4-x^{8}\right)$$

Whakaraupapatia anō ngā kīanga tau.

$$\left(x^{8}+4\right)\left(-x^{8}+4\right)$$

Whakaarohia te -x^{8}+4. Tuhia anō te -x^{8}+4 hei 2^{2}-\left(-x^{4}\right)^{2}. Ka taea te rerekētanga o ngā pūrua te whakatauwehe mā te ture: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

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

Whakaraupapatia anō ngā kīanga tau.

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

Me tuhi anō te kīanga whakatauwehe katoa. Kāore i tauwehea ēnei pūrau i te mea kāhore ō rātou pūtake whakahau: -x^{4}+2,x^{4}+2,x^{8}+4.

$$2\left(x^{8}+4\right)\left(x^{4}+2\right)\left(-x^{4}+2\right)$$

Aromātai

$$32-2x^{16}$$