Factoring
The distributive
property, 
, can be used to factor a quantity from two or more terms. In the formula 
, a is factored from (or divided into) ab and ac. The first step in
factoring is to decide what quantity you want to factor from each term. Second
write each term as a product of the factor and something else (this step will become
unnecessary once you are experienced). Third apply the distribution property in
reverse.
Examples
4 + 6x
Each term is
divisible by 2, so factor 2 from 4 and 6x: 4 + 6x = 2 ⋅ 2 +
2 ⋅ 3x = 2(2 ⋅ 3x):
Complicated
expressions can be factored in several steps. Take for example 
, each term is divisible by 12xyz.
Start with this.
Each term in the
parentheses is divisible by x2:
Practice
Solutions
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