Search for a tool
Math Expression Expansion

Tool to realize the development of a mathematical expression (polynomial, product, ...), this expansion is the reverse of the factoring process, and it create an expanded form.

Results

Math Expression Expansion -

Tag(s) : Symbolic Computation

Share dCode and more

dCode is free and its tools are a valuable help in games, maths, geocaching, puzzles and problems to solve every day!
A suggestion ? a feedback ? a bug ? an idea ? Write to dCode!

Please, check our community Discord for help requests!

Thanks to your feedback and relevant comments, dCode has developped the best 'Math Expression Expansion' tool, so feel free to write! Thank you !

# Math Expression Expansion

## Trigonometric Expression Expansion

Tool to realize the development of a mathematical expression (polynomial, product, ...), this expansion is the reverse of the factoring process, and it create an expanded form.

### What does expand an expression means? (Definition)

The development consists of the decomposition/transformation of a multiplication or a mathematical product into a sum or a difference.

The development is also called an expansion.

To achieve the operations, dCode uses the distributive property of multiplication over addition and subtraction.

The concept of distributivity is the most important for developping: $a \times (b + c) = (a \times b) + (a \times c)$

Example: $(a+b)^2$ is expanded $a^2+2ab+b^2$

### How to develop a polynomial-like expression?

Indicate directly the polynomial (with or without $= 0$) in the box.

Developing a math expression (or a part of an equation) consists in expressing it in sum of factors (to eliminate the possible factorization) in order to obtain a longer writing but which can then make it possible to carry out simplifications. This technique is called a polynomial expansion. After expansion, dCode calculator automatically computes the reduced form of the math expression.

### How to expand a trigonometric expression?

dCode expands algebraic expressions but also trigonometric expressions (functions sine, cosine, etc.) in order to simplify their content

Example: $\sin(2x)$ gives $2\sin(x)\cos(x)$

## Source code

dCode retains ownership of the online 'Math Expression Expansion' tool source code. Except explicit open source licence (indicated CC / Creative Commons / free), any algorithm, applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any function (convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (PHP, Java, C#, Python, Javascript, Matlab, etc.) no data, script or API access will be for free, same for Math Expression Expansion download for offline use on PC, tablet, iPhone or Android !

## Need Help ?

Please, check our community Discord for help requests!