You can put this solution on YOUR website!
The distributive property says:
a(b+c)=ab+bc the a gets multiplied by everything in the parenthesese
Proof that it's true:
There are too many ways to factor. You'll have to give me an example of what you're working on. I don't want to discourage you with something you're not up to yet.
Since you asked about the distributive property, I will tell you that factoring out the GCF (greatest common factor) is the opposite of factoring: