I'm not entirely sure if the focus of this question is more on marketing or the proof, but I can try to help a bit with the proof.
From what I can tell this is basically asking you to take a polynomial from column A, square it, and then add it to column B, and then simplify it while showing your work in order to create an identity. For example:
(x+y)^2 + (ax+b) =
x^2 + xy + +y^2 + ax+b =
x^2 + ax +y^2 + xy + b
Factor out an x from x^2 + ax and a y from y^2 + xy (you don't have to simplify it this way, I'm just doing it as an example)
x(x+a) + y(y+x) + b
Therefore, (x+y)^2 + (ax+b) = x(a+x) + y(y+x)
I can't really help with making a flier, but hopefully this helps