Algebraic expression

Mathematical expression using basic operations

In mathematics, an algebraic expression is an expression built up from constants (usually, algebraic numbers), variables, and the basic algebraic operations: addition (+), subtraction (−), multiplication (×), division (÷), whole number powers, and roots (fractional powers), without any relational signs such as = or <.. For example, ⁠ 3 x 2 − 2 x y + c {\displaystyle 3x^{2}-2xy+c} ⁠ is an algebraic expression. Since taking the square root is the same as raising to the power ⁠1/2⁠, the following is also an algebraic expression: 1 − x 2 1 + x 2 {\displaystyle {\sqrt {\frac {1-x^{2}}{1+x^{2}}}}} An algebraic equation is an equation involving polynomials, for which algebraic expressions may be solutions.

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