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!

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

Answers to Questions

How to develop and reduce a polynomial-like expression?

The development 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.

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 develop 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 expand and reduce a trigonometric expression?

dCode can develop 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} $

Source code

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 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 Expanding and Reducing Math Expression download for offline use on PC, tablet, iPhone or Android !

Need Help ?

Please, check our community Discord for help requests!