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The answer depends on the context. Some examples:when dealing with fractions they are numbers with different denominators,when dealing with surds, they are terms which, in their simplified form have different expressions under the radical.when dealing with algebraic terms, they are terms in which the exponents of the variables are different.
Adding like terms can be like adding fractions. You can only add fractions with a common denomonator. You can only combine terms together if they are like. Think of like terms as denomonators. You can only add if they are like.
You didn't tell us the two terms.
Like terms
When the independent variable is of the same degree. Ex. 3x and -5x are like terms. 6 and 9 are like terms. 7x^2 and 9x^3 are NOT like terms.