Simplify Algebra Calculator

Simplify algebraic expressions and polynomials, expand single-level distributive parentheses, combine like terms, and evaluate at given (x, y) values.

Category: Math

How to Use Simplify Algebra Calculator

  1. Type or paste your algebraic expression into the input box (e.g., 3x + 5y - 2x + 8 - 3y + 4x^2 - 2x^2 or 2(3x + 4) - (x - 2y)).
  2. Optionally enter numeric substitution values for Variable x and Variable y (including 0 or negative numbers).
  3. Click Calculate to view the simplified polynomial arranged in descending degree order alongside the evaluated numeric result.

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Frequently Asked Questions

How does the Simplify Algebra Calculator combine like terms?

Two algebraic terms are 'like terms' if they contain the exact same variables raised to the exact same exponents (such as 4x² and −2x², or 3xy and 5xy). The calculator parses each term's coefficient and variable signature, sums the coefficients of matching variable powers, and orders the polynomial by descending degree.

Does the calculator expand distributive parentheses like 2(3x + 4) - (x - 2y)?

Yes. Single-level distributive parentheses are automatically expanded by multiplying the outer coefficient and variable powers across every term inside the parentheses before combining like terms—for example, 2(3x + 4) − (x − 2y) expands to 6x + 8 − x + 2y and simplifies to 5x + 2y + 8.

How do I write exponents and variables in my algebraic expression?

Use the caret symbol (^) for exponents (for example, 4x^2 - 2x^2 + 3x - 5). You can write coefficients directly next to variables (3x, -2y, 5xy) or with an explicit asterisk (3*x). Terms that cancel out to a 0 coefficient are automatically removed.

How does the numeric evaluation for x and y work?

Alongside simplifying your symbolic polynomial, the calculator substitutes your chosen numeric values for Variable x (default 2) and Variable y (default 3) into the simplified expression to compute the exact numeric value.

What order are terms displayed in the simplified polynomial?

Terms are arranged in standard polynomial canonical order: highest total degree terms first (such as x³ then x² then x), sorted alphabetically by variable key for ties, with the constant number term placed at the end.