any group of numbers (1,2, 5.12, etc.) and variables (x,y,z,k, etc.) added, subtracted, multiplied, or divided
example: 5x + 3.2y - 10/3
The key here is that there is NO equals sign. When there is an equal sign, it is considered an equation, not an expression.
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A polynomial is always going to be an algebraic expression, but an algebraic expression doesn't always have to be a polynomial. In another polynomial is a subset of algebraic expression.
what is the algebraic notation method in multiplication
no algebraic expressions do not have equal signs but equations do.
A rational algebraic expression is the ratio of two algebraic expressions. That is, one algebraic expression divided by another. It is important that the domain is defined in such a way the the rational expression does not involve division by 0.
If an algebraic expression is equivalent to another algebraic expression then it is an equation.