Here are the essential concepts you must grasp in order to answer the question correctly.
Algebraic Expressions
Algebraic expressions are mathematical phrases that can include numbers, variables, and operation symbols. They do not contain an equality sign and can represent a wide range of values. Understanding how to manipulate these expressions is fundamental in algebra, as it allows for simplification and solving equations.
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Like Terms
Like terms are terms in an algebraic expression that have the same variable raised to the same power. For example, in the expression 6x² and -x², both terms are like terms because they contain the variable x raised to the second power. Combining like terms is a key step in simplifying algebraic expressions.
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Simplification
Simplification is the process of reducing an algebraic expression to its simplest form. This involves combining like terms, factoring, and eliminating any unnecessary components. In the given expression 6x² - x², simplification results in 5x², demonstrating how to efficiently condense expressions for clarity and ease of use.
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