Algebraic Expression Simplifier

What is an Algebraic Expression Simplifier?

An algebraic expression simplifier is a tool that reduces mathematical expressions to their simplest form. It automatically applies algebraic rules such as combining like terms, distributing multiplication over addition, simplifying fractions, and applying exponent rules to produce a cleaner, more readable result.

Our simplifier uses the powerful math.js library to parse and simplify expressions. It handles polynomials, rational expressions, exponentiation, and more, providing both the simplified result and a numeric evaluation using default variable values.

What Expressions Can Be Simplified?

Polynomials: Combine like terms and arrange in standard form. For example, 2x + 3x simplifies to 5x, and x² + 2x + 1 - x² + x simplifies to 3x + 1.

Distributive Property: Expand expressions like 3(x + 2) - 2(x - 1) into x + 8 by distributing coefficients and combining like terms.

Exponent Rules: Apply laws of exponents such as x² × x³ = x⁵ and (x²)³ = x⁶, and recognize special products like (x + 1)² = x² + 2x + 1.

Rational Expressions: Simplify fractions like (x² - 1)/(x - 1) by factoring and canceling common factors.

How to Use the Simplifier

Type or paste your algebraic expression into the input field. Use ^ for exponents, * for multiplication, and / for division. You can click any of the example buttons to quickly try common expression types. The tool automatically simplifies your expression in real time and displays the result.

For solving equations rather than simplifying expressions, check out the Math Equation Solver. You can also use the Simplify Radical Expressions tool for working with square roots and radicals, or practice applying algebra to real-world scenarios with our Algebra Age Word Problems Solver.