like terms
terms that have the same variable.
Like terms refers to two or more terms in an algebraic expression that have the same variable raised to the same power or have no variable at all. Specifically, like terms have the same combination of variables and exponents, regardless of any coefficients or constants that may be included in the term.
For instance, in the expression 4x + 5y – 2x – 7, 4x and -2x are like terms because they both have the same variable x raised to the same power of 1. Together, they can be simplified and grouped as 2x. Similarly, 5y and -7 are not like terms because they have different variables (y and no variable) and different exponents.
Knowing how to recognize like terms is important when simplifying algebraic expressions, collecting like terms, and solving equations. By simplifying like terms, it is possible to simplify more complex expressions, making them easier to work with.
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