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Remove Parentheses

Tool to remove unnecessary parentheses in mathematical expressions. Some parentheses or braces or brackets are redundant according to priority of math operators.

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Remove Parentheses -

Tag(s) : Mathematics

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# Remove Parentheses

## Parenthesis Remover

### How and when to remove parentheses?

Enter a mathematical expression including parentheses and click on the button. If unnecessary or redundant parentheses are detected then the expression can be simplified (visually).

Example: ((a*b)+(c*d)) can be rewritten without parenthesis in a*b+c*d

Example: (a+b)*(c+d) can not be simplified

The rules to remove the parentheses/braces depend on the precedence of mathematical operators. Exponentiations precedence over multiplication and division have themselves priority over addition and subtraction.

To calculate the final result, use the dCode tools as the simplifier of mathematical expressions.

### What are the rules for removing parentheses?

In mathematics, there exists an order for operators, a priority is given to some mathematical operations: (1: top priority, 4: lowest priority)

1 - calculations in parentheses

2 - exponentiations

3 - multiplications and divisions

The only necessary parentheses are those that require a different order in the calculation of an expression. The others are unnecessary and can be deleted.

Example: In the expression 1+(2*3), the multiplication is going to be computer before the addition, so parenthesis are useless.

### How to simplify a negative parenthesis?

It is possible to get rid of some parentheses preceded by a - sign. Indeed, the subtraction operation equals the addition of the opposite.

Example: 'a-(b+c) is equivalent to a+(-b-c) or a-b-c

## Source code

dCode retains ownership of the "Remove Parentheses" source code. Except explicit open source licence (indicated Creative Commons / free), the "Remove Parentheses" algorithm, the applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, breaker, translator), or the "Remove Parentheses" 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, or API access for "Remove Parentheses" are not public, same for offline use on PC, mobile, tablet, iPhone or Android app!
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Remove Parentheses on dCode.fr [online website], retrieved on 2024-09-09, https://www.dcode.fr/parentheses-removal

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