Resolver 2u^4y^2-2y^2

$$2 u ^ { 4 } y ^ { 2 } - 2 y ^ { 2 }$$

Faktorizatu

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

Ebazpidea

Deskonposatu 2.

$$2\left(u^{4}y^{2}-y^{2}\right)$$

Kasurako: u^{4}y^{2}-y^{2}. Deskonposatu y^{2}.

$$y^{2}\left(u^{4}-1\right)$$

Kasurako: u^{4}-1. Berridatzi u^{4}-1 honela: \left(u^{2}\right)^{2}-1^{2}. Kuboen diferentzia faktorizatzeko, erabili a^{2}-b^{2}=\left(a-b\right)\left(a+b\right) araua.

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

Kasurako: u^{2}-1. Berridatzi u^{2}-1 honela: u^{2}-1^{2}. Kuboen diferentzia faktorizatzeko, erabili a^{2}-b^{2}=\left(a-b\right)\left(a+b\right) araua.

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

Berridatzi faktorizatutako adierazpen osoa. u^{2}+1 polinomioa ez dago faktorizatuta, ez baitu erro arrazionalik.

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

Ebaluatu

$$2y^{2}\left(u^{4}-1\right)$$