Distributive property

The distributive property of multiplication over addition states that for all real numbers a, b, and c:

and

For example:

Other versions of the distributive property are:

• multiplication over subtraction
• division over addition
• division over subtraction
• exponentiation over multiplication
• exponentiation over division
• differentiation over addition
• differentiation over subtraction
• integration over addition

See also

• associativity
• commutativity