1. Multiplying Special Cases

2. Chapter 8, Section 4 Simplify each product using FOIL.
1. (x + 2)(x + 5) 2. (2x – 1)(x + 2)
(r + 6)(r – 4) 4. (4b – 2)(b + 3)
Simplify each product using FOIL. Write in standard form.
(9y2 + 2)(y2 – y – 1)

3. Chapter 8, Section 4 Simplify each product using FOIL.
1. (x + 2)(x + 5) 2. (2x – 1)(x + 2)
x² + 7x x² + 3x - 2
(r + 6)(r – 4) 4. (4b – 2)(b + 3)
r² + 2r – b² + 10b - 6
Simplify each product using FOIL. Write in standard form.
(9y2 + 2)(y2 – y – 1)
9y⁴ – 9y³ – 7y² - 2y - 2

4. 8.4 Multiplying Special Cases
The Square of a Binomial
(a + b)2 = a2 + 2ab + b2
(a – b)2 = a2 – 2ab + b2
The square of a binomial is the square of the first term plus twice the product of the two terms plus the square of the last term.
(a + b)(a – b) = a2 – b2
The product of the sum and difference of the same two terms is the difference of their squares.

5. Squaring a Binomial
Find (x + 7)2.
Find (4k – 3)2.

6. The Difference of Squares
(a + b)(a – b) = a2 – b2
The product of the sum and difference of the same two terms is the difference of their squares.

7. Multiplying Using FOIL
Find (t3 – 6)(t3 + 6)