Franklin the fly starts at the point $(0,0)$ in the coordinate plane. At each point, Franklin takes a step to the right, left, up, or down. After $2$ steps, how many different points could Franklin end up at?
After n steps, the number of lattice points (points with integer coordinates) he could reach = (n + 1)^2
So.... (2 + 1)^2 = 3^2 = 9 points
+729 
