Resolver 7a^4b+7ab^4

$$7 a ^ { 4 } b + 7 a b ^ { 4 }$$

Faktorizatu

$$7ab\left(a+b\right)\left(a^{2}-ab+b^{2}\right)$$

Ebazpidea

Deskonposatu 7.

$$7\left(a^{4}b+ab^{4}\right)$$

Kasurako: a^{4}b+ab^{4}. Deskonposatu ab.

$$ab\left(a^{3}+b^{3}\right)$$

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

$$\left(a+b\right)\left(a^{2}-ab+b^{2}\right)$$

Berridatzi faktorizatutako adierazpen osoa.

$$7ab\left(a+b\right)\left(a^{2}-ab+b^{2}\right)$$

Ebaluatu

$$7ab\left(a^{3}+b^{3}\right)$$