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Lewis structures are generally the form in which a molecules or compound's bonds can be displayed; whether that may be through covalent bonds or ionic bonds. The valence electrons are drawn with the elements in the compound and the bonds are noted using lines, one line per bond. There can be single, double, or even triple bonds. Additionally, lone pairs can be drawn as well to show the total amount of valence electrons in the given compound. Resonance structures are the same thing, except resonance structures have to do with a compound having more than one form of a Lewis structure. Having the different resonance forms clarifies and allows you to compare the structures to identify the most stable or accurate structure of a compound. Hope this helps. :)
Resonance is referring to the different ways that you could write out a Lewis structure since there are usually multiple valid ways you write one with differing types of bonds or lone pairs. While all the ways are valid, there are usually some structures that seem more stable.
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