The document provides examples of using the FOIL (First, Outer, Inner, Last) method to multiply binomial expressions. It shows step-by-step work for multiplying (x + 2)(x - 4) and (x - 3)(x - 2) using FOIL. It then lists three additional practice problems for multiplying binomial expressions using FOIL without showing the steps.

2. Example 1. Multiply (x + 2) ( x – 4).
Solution:
The FOIL Method makes use of the Distributive Property.
Multiply the First terms: (x + 2) (x - 4) =x2
Multiply the Outer terms: (x + 2) (x - 4) = -4x
Multiply the Inner terms: (x + 2) (x - 4) = 2x
Multiply the Last terms: (x + 2) (x - 4) = -8
Combine like terms: x2 – 4x + 2x - 8 = x2 – 2x - 8

3. Example 2. Multiply (x - 3)(x – 2).
Multiply the First terms: (x - 3) (x – 2) = x2
Multiply the Outer terms: (x - 3) (x – 2) = -2x
Multiply the Inner terms: (x – 3) (x – 2) = -3x
Multiply the Last terms: (x – 3) (x – 2) = 6
Combine like terms: x2 - 2x – 3x + 6 = x2 – 5x + 6

4. Example 3. (2x + 3)(5x – 8)

5. Example 4. Multiply (7x + 8)(2x + 6).

6. Example 5. Multiply (3z + 5)(2z +7).