# Distributive Property

In mathematics, the distributive property of binary operations generalizes the distributive law from elementary algebra, which asserts that one has always:

\begin{align} a \times (b+c) &= (a \times b)+(a \times c) \\ \\ a \times (b-c) &= (a \times b)-(a \times c) \\ \\ (a + b) \times c &= (a \times c)+(b \times c) \\ \\ (a - b) \times c &= (a \times c)-(b \times c) \\ \end{align}

Those are resepectively left-distributive (the first two equations) and right-distributive (the latter two equations).