Polynomials: Simplifying Polynomials

-  To simplify Polynomials, find “like” terms. (they have same variables with same power).
-  Use “FOIL”. (First–Out–In–Last) for binomials:

-  Add or Subtract “like” terms using order of operation.

Examples:
Example 1.  Simplify this expression.
Solution: Use Distributive Property:
Now, combine like terms:

Example 2.  Simplify this expression.
Solution: First, apply the FOIL method:

Now combine like terms:

Example 3.  Simplify this expression.
Solution: Use Distributive Property:
Then:
Now combine like terms: , and
The simplified form of the expression: