factories

(a-b)³+(b-c)³+(c-a⁾³

If x + y + z = 0 then x³ + y³ + z³ = 3xyz

Let x = a - b

y = b - c

z = c - a

Here, x + y + z = 0

So, (a - b)³ + (b - c)³ + (c - a)³ = 3(a - b)(b - c)(c - a)