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Lesson Summary: In this lesson, you'll how to simplify an algebraic expression by factoring out the greatest common factor. We begin by explaining what the Greatest Common Factor (GCF) is and why it is important. Then, we start with basic examples of factoring algebraic terms and slowly work to the more complex examples.
In all cases the basic idea is always the same - we look for common terms in the expression and factor them outside of the parenthesis. This is an essential skill in Algebra and it will be used for a great many type of problems including solving equations, graphing, and inequalities.