The ultimate math gang rivalry! On the red side, we have (-1) n+1 which alternates as +1, -1, +1, -1... while the blue side represents -(-1) n which alternates as -1, +1, -1, +1... These expressions are mathematical opposites - always yielding opposite signs for the same value of n. It's literally the nerdiest turf war ever fought with exponents instead of weapons. Choose your faction wisely - your mathematical street cred depends on it!