Hey mate,
I think it would be nice to add some steps from "52 + 3 (a+b i) - (a+b i)^3" to "(-52 + a (3 + 3 b^2 - a^2)) + b (3 - 3 a^2 + b^2) i".
I forgot for a moment that (a+b i)^3 is a binomic formula, but I would still need pen&paper to check this step.
Mate, before asking, just try it. That's the way to learn.
Take (x+y)^3 and expand it.
(x+y)^3
= (x+y)·(x+y)·(x+y)
= x·(x+y)·(x+y) + y·(x+y)·(x+y)
= ...
Do the work first.
mate, I am just trying to give you a hint. I never said that it is an impossible to understand step, but it would be easier to understand if you add more steps.
No. I know how complex numbers and polynoms work. There is no need for me to calculate some arbitrary equations you came up with :P
Yes, mate.
Mate, ... :D