Multiplying Special Cases

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)

Chapter 8, Section 4 Simplify each product using FOIL. 1. (x + 2)(x + 5) 2. (2x – 1)(x + 2) x² + 7x + 10 2x² + 3x - 2 (r + 6)(r – 4) 4. (4b – 2)(b + 3) r² + 2r – 24 4b² + 10b - 6 Simplify each product using FOIL. Write in standard form. (9y2 + 2)(y2 – y – 1) 9y⁴ – 9y³ – 7y² - 2y - 2

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.

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

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.

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