Resolver 100y^2-4y^4

$$100 y ^ { 2 } - 4 y ^ { 4 }$$

Faktorizatu

$$4\left(-y-5\right)\left(y-5\right)y^{2}$$

Ebazpidea

Deskonposatu 4.

$$4\left(25y^{2}-y^{4}\right)$$

Kasurako: 25y^{2}-y^{4}. Deskonposatu y^{2}.

$$y^{2}\left(25-y^{2}\right)$$

Kasurako: 25-y^{2}. Berridatzi 25-y^{2} honela: 5^{2}-y^{2}. Kuboen diferentzia faktorizatzeko, erabili a^{2}-b^{2}=\left(a-b\right)\left(a+b\right) araua.

$$\left(5-y\right)\left(5+y\right)$$

Berrantolatu gaiak.

$$\left(-y+5\right)\left(y+5\right)$$

Berridatzi faktorizatutako adierazpen osoa.

$$4y^{2}\left(-y+5\right)\left(y+5\right)$$

Ebaluatu

$$100y^{2}-4y^{4}$$