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

Expanding and Reducing Math Expression - dCode

Tag(s) : Symbolic Computation

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*!

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.

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} $

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.

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 $)

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

Please, check our dCode Discord community for help requests!

NB: for encrypted messages, test our automatic cipher identifier!

expansion,reduction,polynomial,fraction,expression,math,expand,reduce,sum,development,distribution

Source : https://www.dcode.fr/expanding-reducing-math

© 2021 dCode — The ultimate 'toolkit' to solve every games / riddles / geocaching / CTF.

Feedback

▲
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!