Resolver 16x^6-250y^3

$$16 { x }^{ 6 } -250 { y }^{ 3 }$$

Faktorizatu

$$2\left(2x^{2}-5y\right)\left(4x^{4}+25y^{2}+10yx^{2}\right)$$

Ebazpidea

Deskonposatu 2.

$$2\left(8x^{6}-125y^{3}\right)$$

Kasurako: 8x^{6}-125y^{3}. Berridatzi 8x^{6}-125y^{3} honela: \left(2x^{2}\right)^{3}-\left(5y\right)^{3}. Kuboen diferentzia faktorizatzeko, erabili a^{3}-b^{3}=\left(a-b\right)\left(a^{2}+ab+b^{2}\right) araua.

$$\left(2x^{2}-5y\right)\left(4x^{4}+25y^{2}+10yx^{2}\right)$$

Berridatzi faktorizatutako adierazpen osoa.

$$2\left(2x^{2}-5y\right)\left(4x^{4}+25y^{2}+10yx^{2}\right)$$

Ebaluatu

$$16x^{6}-250y^{3}$$