Resolver 3ab^3-3a^3b

$$3 a b ^ { 3 } - 3 a ^ { 3 } b$$

Factorizar

$$3ab\left(b-a\right)\left(a+b\right)$$

Pasos da solución

Factoriza 3.

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

Considera ab^{3}-a^{3}b. Factoriza ab.

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

Considera b^{2}-a^{2}. Pódese factorizar a diferenza dos cadrados usando a regra: p^{2}-q^{2}=\left(p-q\right)\left(p+q\right).

$$\left(b-a\right)\left(b+a\right)$$

Reordena os termos.

$$\left(-a+b\right)\left(a+b\right)$$

Reescribe a expresión factorizada completa.

$$3ab\left(-a+b\right)\left(a+b\right)$$

Calcular

$$3ab\left(b^{2}-a^{2}\right)$$