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Simplifying Algebra Addition and Subtraction

In algebra, like terms are crucial for simplifying expressions. Like terms are defined as terms that have identical variable components in any order and the same exponent. For example, terms like 4y, y, and 8wd are like terms due to sharing the same variables and powers. Conversely, terms like w and wx or ab and ba are not like terms as they have different powers. This guide will help you recognize like terms, which can only be added or subtracted if they meet this criterion. Mastering this concept is essential for effective algebraic manipulation.

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Simplifying Algebra Addition and Subtraction

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  1. Simplifying Algebra • Addition and Subtraction

  2. Like Terms Like terms need to have identical letters (in any order) with exactly the same powers on the letters. Examples Like term y/n Reason • 4y, y and • 8w and 8wd • a2 and 2a • 7ab and -2ba • and are all like terms All have same variable and power are not like terms w and w x d are not the same are not like terms Different powers are all like terms Order does not matter ab = ba are not like terms Different powers

  3. Addition and Subtraction Terms can only be added or subtracted if they are ‘like terms’

  4. Addition and Subtraction Terms can only be added or subtracted if they are ‘like terms’ 4-2 Like Terms

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