Algebra Calculator: Solve and Simplify
This algebra calculator solves equations, simplifies expressions, expands brackets and factors polynomials. Choose a mode, type your expression such as (x+2)(x-3) or 2x + 3y = 7, and the result appears at once. It handles several variables, rational coefficients and powers, and it shows the expanded and factored forms side by side. Because it runs in your browser, there is no sign-up and nothing is uploaded, which makes it a quick check for homework, tutoring and exam practice.
Algebra Calculator
Solve equations, simplify, expand and factor algebra expressions for free.
How to use the Algebra Calculator
- Pick what you want to do: solve, simplify, expand or factor.
- Type the expression or equation. Use ^ for powers and * or a space for multiplication.
- For an equation with several letters, enter the letter to solve for.
- Read the answer and the supporting rows, then edit the input to try another one.
Key identities
(a + b)² = a² + 2ab + b² · (a − b)² = a² − 2ab + b² · a² − b² = (a − b)(a + b) · Quadratic formula: x = (−b ± √(b² − 4ac)) / 2a.
Features
- Solve linear, quadratic, cubic and quartic equations
- Expand brackets such as (a + b)^3
- Factor polynomials with rational roots
- Simplify like terms and several variables
- Solve for one letter in a formula
- Free and private
Frequently asked questions
How do I solve an equation with the algebra calculator?
Choose Solve, type the equation with an equals sign, such as 3x - 5 = 10, and read the solution. For an equation with two letters, type the letter to solve for.
Can it factor any polynomial?
It factors polynomials in one variable by finding rational roots and splitting off quadratic parts. Expressions that are prime over the rationals are returned unchanged with a note.
What is the difference between simplify and expand?
Simplify combines like terms. Expand also multiplies out brackets and powers, such as turning (x + 1)^2 into x^2 + 2x + 1.
Does it handle fractions and decimals?
Yes. Fraction results such as 3/4 are shown exactly, and decimals are accepted as input. Results are rounded to ten digits only when they are not exact.
Does the calculator show every step?
It shows the key steps for equations, such as the rewritten form and discriminant, but not a full line-by-line proof. It is built for checking answers quickly.