What is the result when we compute$$1^3 + 2^3 + 3^3 + 4^3 + \dots + 99^3 + 100^3 $$and$$(-1)^3 + (-2)^3 + (-3)^3 + (-4)^3 + \dots + (-99)^3 + (-100)^3,$$and then add the two results?