Sound is basically air movement at different speeds. Sound displace like a 3d bubble similar to the ripple you get when you throw a rock in a lake. If you apply the same force but completely opposite, it will cancel out. Think of it as two people blowing with the same strength a piece of paper but opposite one to each other. The pape sheet wouldn’t move. Noice cancelling has a little mic who listens and inverts the direction (phase) of the sound clashing it with each other getting the same effect. It is pretty magical
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