Yes, bleach is certainly perishable! Some forms are a bit more stable, such as pool shock. But you should be rotating your bleach and using it within a year.

Apropos of nothing but related to prepping, iodine is also perishable/unstable. It will keep for a year or two (I forget the precise timeframe).
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“I'd rather have questions that cannot be answered than answers that can't be questioned.” —Richard Feynman