Whakaoti i te (x^2)^3-(y^2)^3

$$( x ^ { 2 } ) ^ { 3 } - ( y ^ { 2 } ) ^ { 3 }$$

Aromātai

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

Ngā Upane Otinga

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te 3 kia riro ai te 6.

$$x^{6}-\left(y^{2}\right)^{3}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te 3 kia riro ai te 6.

$$x^{6}-y^{6}$$

Tauwehe

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

Ngā Upane Otinga

Tuhia anō te x^{6}-y^{6} hei \left(x^{3}\right)^{2}-\left(y^{3}\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).

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

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

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

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

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

Me tuhi anō te kīanga whakatauwehe katoa.

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