Resolver x^6-y^6

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

Faktorizatu

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

Ebazpidea

Berridatzi x^{6}-y^{6} honela: \left(x^{3}\right)^{2}-\left(y^{3}\right)^{2}. Kuboen diferentzia faktorizatzeko, erabili a^{2}-b^{2}=\left(a-b\right)\left(a+b\right) araua.

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

Kasurako: x^{3}-y^{3}. Kuboen diferentzia faktorizatzeko, erabili a^{3}-b^{3}=\left(a-b\right)\left(a^{2}+ab+b^{2}\right) araua.

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

Kasurako: x^{3}+y^{3}. Kuboen batura faktorizatzeko, erabili a^{3}+b^{3}=\left(a+b\right)\left(a^{2}-ab+b^{2}\right) araua.

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

Berridatzi faktorizatutako adierazpen osoa.

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

Ebaluatu

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