Tool to expand and reduce a mathematical expression (Expanding and reducing polynomial, fractions, equation, trigonometry, etc.)

Expanding and Reducing Math Expression - dCode

Tag(s) : Symbolic Computation

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Tool to expand and reduce a mathematical expression (Expanding and reducing polynomial, fractions, equation, trigonometry, etc.)

The expansion allows expressing the polynomial in a addition (sum) or subtraction (difference) of factors. The reduction is used to group each factor of the polynomial or simplify the result. Often, to carry out the simplification, the development phase is mandatory.

__Example:__ $ (a+b)^2-2ab $ can be expanded $ a^2+2ab+b^2-2ab $ and then be reduced $ a^2+b^2 $

The development and reduction operations is a basic maths calculation in middle school.

dCode can expand trigonometric expressions to simplify (reduce) their content (the goal is to reduce the content (between parenthesis) of the sine and cosine functions)

__Example:__ $ \sin{2x} $ gives $ 2\sin{x}\cos{x} $

dCode offers dedicated tools for calculating fractions. The development consists of writing fractions to the same denominator and reducing is the simplification to the least common multiple.

After an expansion and a reduction, it is customary to order the values according to the increasing or decreasing powers of the variable.

__Example:__ $ (x+1)^2 = x^2+2x+1 $ (decreasing powers of $ x $) or $ (x+1)^2 = 1+2x+x^2 $ (increasing powers of $ x $)

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