Question

write in the lowest term:

(((a-4)^4)-((b+4)^4))/(((a-4)^3)-((b+4)^3))

Answer 1

Apply difference of squares twice to the top and
difference of cubes to the bottom

(U might find it easier to replace (a-4) with say, p and (b-4) with q for the manipulations and then put it back again at the end)