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Math & Geometry
Algebra Simplifier
Simplify algebraic expressions step by step

Use ^ for powers (e.g., x^2), * for multiplication, / for division

Simplification Rules
Combine Like Terms2x + 3x = 5x
Distributive Propertya(b + c) = ab + ac
Power Rulesx^a · x^b = x^(a+b)
Factor Common Terms6x + 9 = 3(2x + 3)
Input Format

Supported operators:

  • + Addition
  • - Subtraction
  • * Multiplication
  • / Division
  • ^ or ²³ Powers

Examples:

  • 2x + 3x - 4
  • 3(x - 2) + 5
  • x^2 + 2x + x^2
  • 4ab - 2ab + 3a
What is Algebraic Simplification?

Algebraic simplification is the process of reducing complex algebraic expressions to their simplest form while maintaining their mathematical equivalence. This involves combining like terms, applying the distributive property, simplifying fractions, and organizing terms in standard form. Simplification makes expressions easier to understand, compare, and use in further calculations.

Like terms are terms that have the same variables raised to the same powers. For example, 2x and 3x are like terms because they both contain the variable x to the first power. Similarly, 4x² and -2x² are like terms. However, 2x and 2x² are not like terms because the powers of x are different.

How to Use This Calculator

Enter your algebraic expression using standard mathematical notation. Use letters for variables (x, y, z, a, b, etc.), numbers for coefficients and constants, and operators for mathematical operations. The calculator will automatically identify like terms, apply algebraic rules, and present the simplified result.

Basic Level

Combines like terms only. Best for simple expressions like 2x + 3x or 4a - a.

Standard Level

Full simplification including distribution and combining. Handles most expressions.

Advanced Level

Includes factoring and provides both factored and expanded forms when applicable.

Disclaimer

This algebra simplifier provides symbolic simplifications based on standard algebraic rules. Results may vary depending on expression structure and selected options. For complex expressions involving advanced operations like logarithms, trigonometric functions, or limits, please consult a specialized computer algebra system or mathematical software.

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