Search for a tool
Expanding and Reducing Math Expression

Tool to expand and reduce a mathematical expression (Expanding and reducing polynomial, fractions, equation, trigonometry, etc.)

Results

Expanding and Reducing Math Expression -

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 dCode Discord community for help requests!
NB: for encrypted messages, test our automatic cipher identifier!

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

# Expanding and Reducing Math Expression

## Trigonometric Expansion and Reduction

### How to expand and reduce a polynomial-like expression?

The expansion allows expressing the polynomial in a addition (sum) or subtraction (difference) of factors. The reduction is used to group each factor of the polynomial or simplify the result. Often, to carry out the simplification, the development phase is mandatory.

Example: $(a+b)^2-2ab$ can be expanded $a^2+2ab+b^2-2ab$ and then be reduced $a^2+b^2$

The development and reduction operations is a basic maths calculation in middle school.

### How to expand and reduce a trigonometric expression?

dCode can expand trigonometric expressions to simplify (reduce) their content (the goal is to reduce the content (between parenthesis) of the sine and cosine functions)

Example: $\sin{2x}$ gives $2\sin{x}\cos{x}$

### How to expand and reduce a fraction?

dCode offers dedicated tools for calculating fractions. The development consists of writing fractions to the same denominator and reducing is the simplification to the least common multiple.

### How to order according to increasing powers?

After an expansion and a reduction, it is customary to order the values according to the increasing or decreasing powers of the variable.

Example: $(x+1)^2 = x^2+2x+1$ (decreasing powers of $x$) or $(x+1)^2 = 1+2x+x^2$ (increasing powers of $x$)

## Source code

dCode retains ownership of the online "Expanding and Reducing Math Expression" source code. Except explicit open source licence (indicated CC / Creative Commons / free), the "Expanding and Reducing Math Expression" algorithm, the applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or the "Expanding and Reducing Math Expression" functions (calculate, convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (Python, Java, PHP, C#, Javascript, Matlab, etc.) and all data download, script, copy-paste, or API access for "Expanding and Reducing Math Expression" are not public, same for offline use on PC, tablet, iPhone or Android ! Remainder : dCode is free to use.

## Need Help ?

Please, check our dCode Discord community for help requests!
NB: for encrypted messages, test our automatic cipher identifier!