Expression Expander

Expand products and powers of algebraic expressions — brackets, binomials and multivariable polynomials.

Your result will appear here

Fill in the fields and press Expand, or pick one of the examples.

About the Expression Expander

Multiplies out brackets and powers so that an expression becomes a sum of terms. A polynomial in one variable is written in standard form with descending powers.

Results come from a symbolic engine and are checked numerically against your input at several sample points before they are displayed.

Limitations

Very high powers of sums with many terms can exceed the engine’s time limit.

How to use it

Type the expression to expand, e.g. (x + 1)^3.
Press Expand.
Copy the result.

Example

(x + 1)^3

→ x^3 + 3*x^2 + 3*x + 1

Formulas used

(a + b)^{2} = a^{2} + 2ab + b^{2}

Square of a sum.

(a + b)^{n} = \sum_{k=0}^{n} \binom{n}{k} a^{n-k} b^{k}

The binomial theorem.

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About the Expression Expander

Limitations

How to use it

Formulas used

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About the Expression Expander

Limitations

How to use it

Formulas used