Three words used as if they mean the same thing. They do not, and the gaps between them are where money goes missing.
Price is quoted to you. Cost is what you find out later. An expense is an event in a period, and not everything that leaves your account is one.
Price is what you agree to pay. Cost is what the thing takes from you in total. An expense is money leaving in a period. Almost every bad purchase is a price that looked fine and a cost nobody worked out.
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