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Definition of algebraic expression. : an expression obtained by a finite number of the fundamental operations of algebra upon symbols representing numbers.
In mathematics, an expression (or mathematical expression) is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, punctuation, grouping, and other aspects of logical syntax.n general the meaning of expressions is not limited to designating values; for instance, an expression might designate a condition, or an equation that is to be solved, or it can be viewed as an object in its own right that can be manipulated according to certain rules.