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Math Expression Factorization

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.

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Math Expression Factorization -

Tag(s) : Symbolic Computation

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# Math Expression Factorization

## Expression Factorization

 Factorization Classic (Recommended for polynomials) Trigonometric Expression (cos, sin, etc.)

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.

### How to factorize a polynomial-like expression?

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.

### How to factorize a trigonometric expression?

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

### How to display steps by steps?

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.

## Source code

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 !