Tool to check an equality between 2 mathematical expressions (written in different forms, factored, expanded etc.). Checker with or without unknown values / variables.

Equality Checker - dCode

Tag(s) : Symbolic Computation

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To check if 2 values or mathematical expressions are equal or not, it is necessary to transform their writing (via calculations, simplifications, developments or factorizations) in order to make them identical.

__Example:__ Check that $ (a+b)(a-b) = a^2 - b^2 $ is to calculate $ (a+b)(a-b) = a^2 - a*b + b*a - b^2 = a^2 - b^2 $ so the 2 writings are equivalent which means that the 2 expressions are equal.

dCode displays TRUE or FALSE when checking mathematical identities / equalities, use the equation solver or the inequality solver for more detailes calculations.

To rewrite a mathematical expression, there are several techniques:

- mathematical development which consists in breaking down the multiplications or products a sum or a difference of values.

__Example:__ $ 2 \times (x + 1) = 2x + 2 $

- mathematical factorization which consists of transforming the sums or different into multiplication or products of values

__Example:__ $ 3y + 9 = 3 (y + 3) $

- mathematical simplification which consists of removing redundant or unnecessary values (which cancel each other out)

__Example:__ $ 2a + 2b -a -b -a = 2a-a-a + 2b-b = b $

For a quick rewrite, make maximum use of mathematical knowledge, remarkable identities, known products etc.

dCode retains ownership of the online 'Equality Checker' tool source code. Except explicit open source licence (indicated CC / Creative Commons / free), any 'Equality Checker' algorithm, applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any 'Equality Checker' 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 'Equality Checker' will be for free, same for offline use on PC, tablet, iPhone or Android ! dCode is free and online.

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Source : https://www.dcode.fr/equality-check

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