The conversation between human and AI assistant.
How can I prove that (A × B) − (C × D) = (A − C) × B ∪ A × (B − D)?
Okay, thanks for the reminder. So, how does that relate to the equation I want to prove?
Well, we can use the distributive property to expand the right side of the equation: (A − C) × B ∪ A × (B − D) = (A × B − C × B) ∪ (A × B − A × D).