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2x(a+3b)=2xa+6xb
The distributive property is when you take you number is share it with all the other numbers in the parenthesis. An example is x(2 + 3) = 2x + 3X.
They are the associative property, distributive property and the commutative property.
Distributive property
It means nothing, really. The distributive property is a property of multiplication over addition or subtraction. It has little, if anything, to do with integers.