This form (x+b)²+c is a vertex form that can be found by completing square for the equation x²+440x+440².
To complete square we will need to use formula a² +2ab + b² = (a+b)²
x²+440x+440²,
x² +2*220²x +220² -220² +440² (we added 220² -220², so nothing really changed here).
x² +2*220²x +220² -220² +440² ( here , bold part can be rewritten as (x+220)²)
(x+220)² -220² +440² (calculating bold part)
(x+220)² -220² +440² = (x+220)² + 145200
Now we have x²+440x+440², in the form that we need
x²+440x+440² = (x+220)² + 145200
(x+b)²+c = (x+220)² + 145200,
b=220,
c= 145200
So,
c/b = 145200/220 = 660
c/b = 660/1 (if you need it in a fraction form) or 660.