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Similar terms. These are terms in which the variables have the same power in each term, and only the coefficient changes.
If you have a expression that goes; 2x + 5x etc etc Simplifying the like terms is 7x 2x and 5x are like terms, but 2y and 2x are not. The variable needs to be the same.
No. A polynomial is an expression of more than two algebraic terms, and usually contains different powers of the same variable.
In many ways. It really depends on the algebraic expression. If several terms are added/subtracted, you can usually combine similar terms (terms that have the same combination of variables). If variables are multiplied, you can combine the same variable, adding the corresponding exponents. Sometimes expressions get simpler if you factor them; sometimes you have to multiply out (in other words, the opposite of factoring). Quite frequently, you have to use a combination of methods to simplify expressions. Take an algebra book, and look at some of the examples.