**Multiplying Monomials**

To multiply one monomial by another, we multiply the numerical factors and then multiply the variable factors.

Example 1: Perform each multiplication:

**Multiplying a Polynomial by a Monomial**

To multiply a polynomial by a monomial, we use the distributive property and multiply each term of the polynomial by the monomial.

Example 2: Perform each multiplication:

**Multiplying a Polynomial by a Polynomial**

To multiply a polynomial by a polynomial, we use the distributive property repeatedly.

Example 3: Perform each multiplication:

**Special Products**

Example 6: Find each square:

Graphical Illustration:

Example 7: Multiply:

The products discussed in Examples 6 and 7 are called
special products. The two trinomials are called

perfect square trinomials.

*Note:

Example 9: Multiply:

**An Application of Multiplying Polynomials**

Recall: Area formulas:

Square

Rectangle

Triangle

Example: Write a polynomial that represents the area of the rectangle shown:

**Multiplying Expressions that are not Polynomials**

Example 11: Find the product of
and