@professionalbronco Way to go, your answers for the three I gave you are really good!
And about the ones you talked about... I actually never thought about using it that way, that's a very interesting idea! I honestly can't process the idea of taking an infinite polynomial (with an infinite amount of variables), then actually squaring it. But in theory, I that should work exactly like you wrote it. This is why math is great! You can basically apply rules any way you want and they'll probably work. Way to go for coming up with this