Reps to the one who proves it -
"Prove that negative signs cancel each other during division."
A simple solution.
We all know that the value of any number doesn't change when its multiplied and divided by the same number, except than 0.
We know:
(a+b/a+b) = 1
Therefore, if (a+b/a+b) is multiplied and divided by -1, it becomes [-(a+b)/-(a+b)] and is equivalent to (a+b/a+b).
Thus,
(a+b/a+b) = [-(a+b)/-(a+b)] = 1
Hence, negative signs cancel each other during division.