Math

[Guest]

Factor:
(b-c)(b²+c²+bc)-(b+d)(b²-bd+d²)+(a+c)(a²+c²-ac).

[shyamjayakannan]

[tex]=b^3-c^3-\left(b^3+d^3\right)+a^3+c^3=a^3-d^3=\boxed{(a-d)\left(a^2+ad+d^2\right)}[/tex]