🧮Simplify Expressions Calculator
Enter an expression in x — the calculator distributes parentheses and combines like terms.
Use ^ for powers, parentheses for grouping, one variable (x). Example: (x+2)(x-3) + 4x
Free Expression Simplifier
This simplify expressions calculator takes an algebraic expression in one variable, distributes any parentheses (including multiplying two binomials like (x+2)(x-3)), combines like terms by power, and returns the fully simplified polynomial in standard form.
It parses your expression into an expression tree, expands every multiplication and grouping symbolically, then sums the coefficients of matching powers of x — the same process you'd use working through it by hand.
Free, runs entirely in your browser, no sign-up required.
About the Simplify Expressions Calculator
Features
Parentheses handled
Distributes constants and expands binomial products.
Like terms combined
All terms of the same power are summed automatically.
Standard form output
Result ordered from highest to lowest power.
Instant, private
Runs entirely in your browser. No data is sent anywhere.
Frequently Asked Questions
What does it mean to simplify an expression?
Simplifying means distributing any multiplication over parentheses and combining like terms (terms with the same power of the variable) so the expression is written in its shortest, standard form.
What are 'like terms'?
Like terms have the same variable raised to the same power, such as 3x and -5x, or 2x² and 7x². They can be combined by adding or subtracting their coefficients.
How does distributing parentheses work?
Multiply everything inside the parentheses by whatever is directly outside — for 2(x - 4), that's 2×x and 2×(-4), giving 2x - 8.
Can this expand two binomials multiplied together, like (x+2)(x-3)?
Yes — the calculator multiplies out every term pair (FOIL: First, Outer, Inner, Last) and then combines like terms in the result.
What input format does it accept?
Standard algebraic notation with x as the variable, ^ for exponents, and parentheses for grouping — like 3x + 2(x - 4) - 5 or (x+2)(x-3).
Does it support more than one variable?
No, this calculator works with expressions in a single variable, x. Multi-variable expressions aren't supported.
Can it handle negative exponents?
No, only non-negative integer exponents are supported for the power operator.
What does 'standard form' mean for the result?
The simplified answer is written with terms ordered from highest power to lowest, which is the conventional way to present a polynomial.
What if my expression is already simplified?
The calculator will return it unchanged (aside from reordering terms by power) since there's nothing left to distribute or combine.
Is this calculator free to use?
Yes, completely free with no sign-up, and it runs entirely in your browser.