Distributive property

In mathematics, if one has two binary operations $*$ and $*'$ over a set Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle A } then we say that Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle * } distributes over $*'$ if for all $x,y,z$ in A $x*(y*'z)=(x*y)*'(x*z)$. A common example of operations with the distributive property is the example of multiplication distributing over addition.