Search for a tool
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.

Results

Math Expression Factorization -

Tag(s) : Symbolic Computation

Share dCode and more

dCode is free and its tools are a valuable help in games, maths, geocaching, puzzles and problems to solve every day!
A suggestion ? a feedback ? a bug ? an idea ? Write to dCode!

Please, check our dCode Discord community for help requests!
NB: for encrypted messages, test our automatic cipher identifier!

Thanks to your feedback and relevant comments, dCode has developed the best 'Math Expression Factorization' tool, so feel free to write! Thank you!

# Math Expression Factorization

## Expression Factorization

 Factorisation Classic (Recommended for polynomials) Classic (complex allowed) Full (for polynomial with roots) Trigonometric (cos, sin, etc.)

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

## Need Help ?

Please, check our dCode Discord community for help requests!
NB: for encrypted messages, test our automatic cipher identifier!