**Distributive Property**

The*distributive property*of algebra is about grouping terms. It states that for any real numbers a,b, and c, that :

**ac + bc = (a + b)c or ...****ac - bc = (a - b)c**

**4c + 5c = (4 + 5)c = (4 + 5)c or ...****4c - 5c = (4 - 5)c = - c**

(a + b)c = ac + bc

Basically what this property means is that if two or more terms involve the same variable (say "c"), and they are either added or subtracted, then you can group the other terms together inside parentheses and multiply the whole term in the parentheses times c. This often lets you simplify an expression by combining the terms inside the parentheses. Here's an example:

1. Start with: 4ac - 2bc + 3ac + 5bc

2. All terms involve c, so we have :(4a - 2b + 3a + 5b)c

3. We can group the a and b terms also:((4 + 3)a + (-2 + 5)b)c

4. Now simplify:( 7a + 3b )c