Polynomials: Multiplying Binomials

A binomial is a polynomial that is the sum or the difference of two terms, each of which is a monomial.

To multiply two binomials, use the “FOIL” method. (First–Out–In–Last)


Examples:
Example 1.  Multiply Binomials.
Solution: Use “FOIL”. (First–Out–In–Last):


Then combine like terms:

Example 2.  Multiply.
Solution: Use “FOIL”. (First–Out–In–Last):


Then simplify:

Example 3.  Multiply.
Solution: Use “FOIL”. (First–Out–In–Last):


Then simplify:

Example 4.  Multiply Binomials.
Solution: Use “FOIL”. (First–Out–In–Last):


Then combine like terms: