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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

 Factorisation Classic (Recommended for polynomials) Classic (complex allowed) Full (for polynomial with roots) Trigonometric (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 of the form $a^2 + 2ab + b^2 = (a+b)^2$ 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 online 'Math Expression Factorization' tool source code. Except explicit open source licence (indicated CC / Creative Commons / free), any algorithm, applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any function (convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (PHP, Java, C#, Python, Javascript, Matlab, etc.) no data, script or API access will be for free, same for Math Expression Factorization download for offline use on PC, tablet, iPhone or Android !

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