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Suppose that ○ and * are binary operations on a set S. Then ○ is distributive over * if, for all a, b and c in S,

a ○ (b * c)=(ab) * (ac) and (a * b) ○ c=(ac) * (bc)

If the two operations are multiplication and addition, ‘the distributive laws’ normally means those that say that multiplication is distributive over addition.

Subjects: Mathematics.

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