a*(b ± c) = a*b ± a*c
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The DISTRIBUTIVE property is a property of multiplication over addition (OR subtraction) over some specified set of numbers. It states that, a*(b + c) = a*b + a*c for any elements a, b and c belonging to the set,
commutative, associative, distributive
Multiplication, division, subtraction, addition
Not by itself. A mathematical operation has properties in the context of a set over which it is defined. It is possible to have a set over which properties are not valid.Having said that, the set of rational numbers is closed under subtraction, as is the set of real numbers or complex numbers.Multiplication is distributive over subtraction.
Closure with respect to addition and multiplication. Cummutative, Associative properties of addition and of multiplication. Distributive property of multiplication over addition.