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Equality Checker

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

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Equality Checker -

Tag(s) : Symbolic Computation

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# Equality Checker

## Equality Checker

### How to check a mathematical equality?

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.

### How to rewrite a mathematical expression?

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.

## Source code

dCode retains ownership of the online "Equality Checker" source code. Except explicit open source licence (indicated CC / Creative Commons / free), the "Equality Checker" algorithm, the applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or the "Equality Checker" 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 "Equality Checker" are not public, same for offline use on PC, tablet, iPhone or Android ! Remainder : dCode is free to use.

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