Expression Simplifier Calculator
Simplify algebraic expressions by combining like terms, expanding parentheses, and reducing basic polynomial forms.
Examples: 2x + 3x, 3(a + 2) – a, (x + 2)(x – 3), 2x^2 + 3x – x^2
Steps
Combined Terms
What the Result Means
The simplified expression is an equivalent form of the expression you typed. It keeps the same value for the same variable values, but it removes unnecessary repetition by collecting like terms and expanding supported parentheses.
For example, 2x + 3x becomes 5x because both terms contain the same variable part. The calculator also handles multiplication such as 2(x + 1), which becomes 2x + 2.
Method Used by This Expression Simplifier
This tool treats supported expressions as polynomials. It parses the expression, expands multiplication where possible, then combines terms that have the same variable powers.
Like-term rule:
axn + bxn = (a + b)xn
Distribution rule:
a(b + c) = ab + ac
The calculator supports addition, subtraction, multiplication, parentheses, single-letter variables, nonnegative integer powers, and division by a number. It does not use eval or external algebra libraries.
How to Use the Calculator
- Type an algebraic expression into the input box.
- Use ^ for exponents, such as x^2.
- Use parentheses for grouped expressions, such as 2(x + 3).
- Select how many decimal places should be shown if the result has decimal coefficients.
- Click Simplify Expression to see the equivalent simplified form.
- Use Copy Result if you want to reuse the visible answer.
Worked Example
Suppose the expression is:
2x + 3x – 4 + 2(x + 1)
First, expand the parentheses:
2(x + 1) = 2x + 2
Now rewrite the expression:
2x + 3x – 4 + 2x + 2
Combine the x terms and constant terms:
7x – 2
Common Uses
- Algebra homework: check whether like terms were combined correctly.
- Pre-algebra practice: see how parentheses and signs affect the final expression.
- Equation preparation: simplify each side before solving an equation.
- Polynomial practice: expand simple products such as (x + 2)(x – 3).
Common Mistakes to Avoid
- Writing x2 when you mean x^2. This calculator reads x2 as x times 2.
- Using unsupported functions such as sin, log, square root, or absolute value.
- Trying to simplify rational expressions such as x / x. This tool only divides by numeric constants.
- Forgetting parentheses in expressions like 2(x + 3).
- Using very large powers, which can create long expanded expressions.
Limitations
This expression simplifier is designed for basic polynomial expressions. It can expand and combine many classroom-style algebra expressions, but it is not a full computer algebra system.
It does not factor expressions, solve equations, simplify radicals, simplify trigonometric expressions, or reduce rational expressions with variables in the denominator.
Related Calculators
If you are working through algebra problems, these related tools may also help: Fraction Calculator, Scientific Calculator, Quadratic Equation Calculator, and LCM and GCD Calculator.
FAQ
Can this calculator show steps?
Yes. It shows the parsed expression, the combined terms, and the final simplified result. The steps are focused on the algebra operations this tool supports.
Does it solve equations?
No. It simplifies expressions only. For example, it can simplify 2x + 3x, but it does not solve 5x = 20.
Can I use parentheses?
Yes. Parentheses are supported, including expressions such as 2(x + 1) and (x + 2)(x – 3).
Does it support exponents?
Yes, it supports nonnegative integer powers such as x^2 and y^3. Very large powers are limited to keep the page fast and readable.
Why did I get an unsupported division message?
The calculator can divide by numbers, such as (x + 2) / 2. It does not simplify division by expressions such as x / (x + 1).
