Hello,
I would like to add one piece of information if you dont' mind soroban.
The difference of cubes is:
a^3 - b^3 = (a-b)(a^2+ab+b^2) That means the when you have (b^3 = c = a perfect cube, such as -1, 1, 8, 64, etc) you can simply use that formula.
There is another formula though!
This one is:
a^3 + b^3 = (a + b)(a2 – ab + b2)