Whakaoti i te 1-m^16

$$1 - m ^ { 16 }$$

Tauwehe

$$\left(m-1\right)\left(m+1\right)\left(m^{2}+1\right)\left(m^{4}+1\right)\left(-m^{8}-1\right)$$

Ngā Upane Otinga

Tuhia anō te 1-m^{16} hei 1^{2}-\left(-m^{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).

$$\left(1+m^{8}\right)\left(1-m^{8}\right)$$

Whakaraupapatia anō ngā kīanga tau.

$$\left(m^{8}+1\right)\left(-m^{8}+1\right)$$

Whakaarohia te -m^{8}+1. Tuhia anō te -m^{8}+1 hei 1^{2}-\left(-m^{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).

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

Whakaraupapatia anō ngā kīanga tau.

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

Whakaarohia te -m^{4}+1. Tuhia anō te -m^{4}+1 hei 1^{2}-\left(-m^{2}\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).

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

Whakaraupapatia anō ngā kīanga tau.

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

Whakaarohia te -m^{2}+1. Tuhia anō te -m^{2}+1 hei 1^{2}-m^{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).

$$\left(1-m\right)\left(1+m\right)$$

Whakaraupapatia anō ngā kīanga tau.

$$\left(-m+1\right)\left(m+1\right)$$

Me tuhi anō te kīanga whakatauwehe katoa. Kāore i tauwehea ēnei pūrau i te mea kāhore ō rātou pūtake whakahau: m^{2}+1,m^{4}+1,m^{8}+1.

$$\left(-m+1\right)\left(m+1\right)\left(m^{2}+1\right)\left(m^{4}+1\right)\left(m^{8}+1\right)$$

Aromātai

$$1-m^{16}$$