Math

[Guest]

Factor:
(a²+b²)(b-a)(a+b)-(b-c)(c²+b²)(b+c).

[shyamjayakannan]

[tex]\left(a^2+b^2\right)(b-a)(a+b)-(b-c)\left(c^2+b^2\right)(b+c)=\left(a^2+b^2\right)\left(b^2-a^2\right)-\left(c^2+b^2\right)\left(b^2-c^2\right)=b^4-a^4-\left(b^4-c^4\right)=\boxed{c^4-a^4}[/tex]