Factor, \(ab^3 - a^3 b + bc^3 - b^3 c + ca^3 - c^3 a\)
I've tried factoring it normally like taking out ab,bc,ca and then using difference of squares. Or taking a out of the first and last, b etc. And then using difference of cubes. But I can't seem to factor it any further.
I believe I'm supposed to use the Multivariable Factor Theorem but I can't figure out how to apply it, or how to use it in this case.
Any help would much appreciated!