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 Nov 29 comment Expansion of Expression I get the fully expanded result with ExpandAll: ExpandAll[TrigToExp[Exp[-l H] Sinh[l (H - h)] Sinh[l x]]] gives: -(1/4) E^(-h l - l x) + 1/4 E^(h l - 2 H l - l x) + 1/4 E^(-h l + l x) - 1/4 E^(h l - 2 H l + l x) Nov 29 comment Expansion of Expression Thanks, that did answer the question I asked. But when I tried: Simplify[TrigToExp[Exp[-l H] Sinh[l (H - h)] Sinh[l x]]], I get: 1/4 E^(l (h - 2 H - x)) (-1 + E^(2 (-h + H) l)) (-1 + E^(2 l x)). Is there a way to have this completely expanded out? Nov 29 accepted Expansion of Expression Nov 29 revised Expansion of Expression added 40 characters in body Nov 29 asked Expansion of Expression Nov 21 awarded Scholar Nov 21 accepted Replacements/Substitutions in Mathematica Nov 21 awarded Supporter Nov 21 awarded Student Nov 21 comment Replacements/Substitutions in Mathematica Thanks to you and @Jens for clearing up my confusion on declarations. Nov 21 comment Replacements/Substitutions in Mathematica Thanks, I thought that the declaration of the variables as Reals would be automatically incorporated in subsequent calculations, but I understand from your response that it should be formulated as Assumptions and have calculations specifically invoke the Assumptions. I hope there is a way to have substitutions made so that the numerator is recognized as the first element of the vector rhatV and the denominator as rhat^3. Nov 21 awarded Editor Nov 21 revised Replacements/Substitutions in Mathematica deleted 2 characters in body; edited title Nov 21 asked Replacements/Substitutions in Mathematica