Tool to factorize a math expression. Factorization of a mathematical expression consists in expressing it as a product, it is the inverse of an expansion.

Math Expression Factorization - dCode

Tag(s) : Symbolic Computation

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Tool to factorize a math expression. Factorization of a mathematical expression consists in expressing it as a product, it is the inverse of an expansion.

Factorizing is the action of transforming a sum into a product (a multiplication) of 2 factors (or more).

**Factorization by finding a common factor**

Example: \( 2a + 2b \) has the common factor \( 2 \), so \( 2a + 2b = 2(a+b) \)

**Factorization by identifying a remarkable identity**

The most common outstanding identities are \( (a+b)^2 = a^2 + 2ab + b^2 \), \( (a-b)^2 = a^2 - 2ab + b^2 \) or \( (a+b)(a-b)=a^2 - b^2\)

Example: \(x^2 + 2x-a^2 + 1 \) is a remarkable identity \(a^2 + 2ab + b^2 = (a+b)^2 \) so \( x^2 + 2x - a^2 + 1 = (-a+x+1)(a+x+1) \)

dCode can factorize a mathematical expression in order to express it as a product of factors. dCode knows how to recognize a remarkable identity and manages unknowns and variables thanks to its formal calculator.

dCode factorizes trigonometric expression in order to simplify them by expressing them with sin and cos

Example: $$ 1+1/\sec(x) = 2\cos(x/2)^2 $$

Example: $$ \cos(x+y) + \sin(x)\sin(y) = \cos(x)\cos(y) $$

The solver/factorizer has no real steps, at least not steps similar to those required of college or high school. For the moment steps are not displayed, but the solver allows checking a result.

dCode retains ownership of the source code of the script Math Expression Factorization online. Except explicit open source licence (indicated Creative Commons / free), any algorithm, applet, snippet, software (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any function (convert, solve, decrypt, encrypt, decipher, cipher, decode, code, translate) written in any informatic langauge (PHP, Java, C#, Python, Javascript, Matlab, etc.) which dCode owns rights will not be released for free. To download the online Math Expression Factorization script for offline use on PC, iPhone or Android, ask for price quote on contact page !

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Source : https://www.dcode.fr/math-expression-factor

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