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
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!
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.
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.