deletions | additions       diff --git a/bits4.tex b/bits4.tex  index 9c0a3ea..c3f893c 100644  --- a/bits4.tex  +++ b/bits4.tex 
...
We can check that $f$ and $g$ have the same values in \emph{all}  points of $(\Fb)^3$ (and we leave this computation to the reader), so  we have  $$f (x, y, z) = g(x, y, z) \, z), \;  \forall (x, y, z) \in (\Fb)^3$$ Hence $f$ and $g$ are distinct as polynomials but are equal as functions, since they give the same output for each input.  \\  Since $x^2 = x \forall x \in \Fb $, then every polynomial function