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HomeHomework HelpmathematicsAlgebraic Expression Simplification

Algebraic Expression Simplification

This topic involves the methods and principles used to simplify algebraic expressions, including the subtraction of like terms, combining of coefficients, and the application of the distributive property. It is significant in Mathematics as it forms the foundation for solving equations and manipulating expressions in various algebraic contexts. Understanding how to simplify expressions with subtraction is crucial for further algebraic studies and problem-solving.

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Mathematics
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Algebraic expression simplification is a fundamental skill in mathematics that involves reducing expressions to their simplest forms. This process includes identifying like terms, applying the distributive property, and combining terms effectively. Mastering these techniques is essential for solving...

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Key Terms

Variable
A symbol used to represent a number that can change.

Example: In the expression 2x + 3, x is a variable.

Like Terms
Terms that have the same variable raised to the same power.

Example: 3x and 5x are like terms.

Distributive Property
A property that states a(b + c) = ab + ac.

Example: 2(3 + 4) = 2*3 + 2*4.

Combining Terms
The process of adding or subtracting like terms.

Example: 3x + 2x = 5x.

Factoring
Rewriting an expression as a product of its factors.

Example: x² - 4 = (x - 2)(x + 2).

Expression
A combination of numbers, variables, and operations.

Example: 2x + 3 is an expression.

Related Topics

Linear Equations
Study equations that graph as straight lines and how to solve them.
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Polynomials
Explore expressions that consist of variables raised to whole number powers.
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Inequalities
Learn about expressions that show the relationship between quantities that are not equal.
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Key Concepts

Like TermsDistributive PropertyCombining TermsFactoring