Resolver 216m^6-27n^6

$$216 m ^ { 6 } - 27 n ^ { 6 }$$

Faktorizatu

$$27\left(2m^{2}-n^{2}\right)\left(4m^{4}+2m^{2}n^{2}+n^{4}\right)$$

Ebazpidea

Deskonposatu 27.

$$27\left(8m^{6}-n^{6}\right)$$

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

$$\left(2m^{2}-n^{2}\right)\left(4m^{4}+2m^{2}n^{2}+n^{4}\right)$$

Berridatzi faktorizatutako adierazpen osoa.

$$27\left(2m^{2}-n^{2}\right)\left(4m^{4}+2m^{2}n^{2}+n^{4}\right)$$

Ebaluatu

$$216m^{6}-27n^{6}$$