Whakaoti i te x^12-a^12=

$$x ^ { 12 } - a ^ { 12 } =$$

Tauwehe

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

Ngā Upane Otinga

Tuhia anō te x^{12}-a^{12} hei \left(x^{6}\right)^{2}-\left(a^{6}\right)^{2}. Ka taea te rerekētanga o ngā pūrua te whakatauwehe mā te ture: p^{2}-q^{2}=\left(p-q\right)\left(p+q\right).

$$\left(x^{6}-a^{6}\right)\left(x^{6}+a^{6}\right)$$

Whakaarohia te x^{6}-a^{6}. Tuhia anō te x^{6}-a^{6} hei \left(x^{3}\right)^{2}-\left(a^{3}\right)^{2}. Ka taea te rerekētanga o ngā pūrua te whakatauwehe mā te ture: p^{2}-q^{2}=\left(p-q\right)\left(p+q\right).

$$\left(x^{3}-a^{3}\right)\left(x^{3}+a^{3}\right)$$

Whakaarohia te x^{3}-a^{3}. Ka taea te rerekētanga o ngā pūtoru te whakatauwehe mā te whakamahi i te ture: p^{3}-q^{3}=\left(p-q\right)\left(p^{2}+pq+q^{2}\right).

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

Whakaarohia te x^{3}+a^{3}. Ka taea te tapeke pūtoru te whakatauwehe mā te whakamahi i te ture: p^{3}+q^{3}=\left(p+q\right)\left(p^{2}-pq+q^{2}\right).

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

Whakaarohia te x^{6}+a^{6}. Tuhia anō te x^{6}+a^{6} hei \left(x^{2}\right)^{3}+\left(a^{2}\right)^{3}. Ka taea te tapeke pūtoru te whakatauwehe mā te whakamahi i te ture: p^{3}+q^{3}=\left(p+q\right)\left(p^{2}-pq+q^{2}\right).

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

Me tuhi anō te kīanga whakatauwehe katoa.

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

Aromātai

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