Math Expression Expansion

The development consists of the decomposition/transformation of a multiplication or a mathematical product into a sum or a difference.

The development is also called an expansion.

To achieve the operations, dCode uses the distributive property of multiplication over addition and subtraction.

The concept of distributivity is the most important for developping: $ a \times (b + c) = (a \times b) + (a \times c) $

Example: $ (a+b)^2 $ is expanded $ a^2+2ab+b^2 $

Indicate directly the polynomial (with or without $ = 0 $) in the box.

Developing a math expression (or a part of an equation) consists in expressing it in sum of factors (to eliminate the possible factorization) in order to obtain a longer writing but which can then make it possible to carry out simplifications. This technique is called a polynomial expansion. After expansion, dCode calculator automatically computes the reduced form of the math expression.

dCode expands algebraic expressions but also trigonometric expressions (functions sine, cosine, etc.) in order to simplify their content

Example: $ \sin(2x) $ gives $ 2\sin(x)\cos(x) $