without expanding either side, show that $$(a – b)^3 + (b – c)^3 + (c – a)^3 = 3(a-b)(b-c)(c-a).$$

Expanding a Difference of Cubes: (A-B)^3 Explained

In the realm of algebra, one of the most fascinating expressions to work with is the difference of cubes. When…

8 months ago