Algebraic expressions are the written relations of or between variables. For example, x2, 1/x, and x + y + z are all algebraic expressions. Algebraic equations are simply algebraic expressions that equate to something. For example, x2 = 4, 1/x = y, and x + y + z = 42 are all algebraic equations. In general, one differentiates algebraic expressions from exponential, trigonometric, hyperbolic, and logarithmic expressions by requiring algebraic expressions to be confined to polynomial expressions. I've added a link regarding polynomials below.
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They are alike because the both have value, they both have variables, and both have numbers. there, happy?
Algebraic expressions can't be solved because they are not equations but they can be simplified.
expressions don't have an equal sign and equations do
An expression that contains at least one variable is called an algebraic expression. Algebraic expressions consist of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. These expressions can be simplified or evaluated by substituting specific values for the variables. Algebraic expressions are fundamental in algebra and are used to represent mathematical relationships and solve equations.
An expression consists of algebraic terms and has no equality sign