Multiplying Binomials. Multiplying Special Cases What you’ll learn To multiply two binomials or a binomial by a trinomial. To find the square of a binomial and to find the product of a sum and difference.

F O I L method F O I L O F I L Combine like terms First Outer Inner Last F Combine like terms I L Example 7-1a

F O I L method O F F O I L (x - 2)( x +3) I L Example 7-1a

F O I L method O F F O I L (2x - 3)( x +3) I L Example 7-1a

Multiplying a binomial by a trinomial. Example 7-1a

+ + + Problem 1:Using FOIL 1. What is the simplest form of (5x-3)(2x+1)? (5x-3)(2x+1)= FIRST OUTER INNER LAST + + + (5x)(2x) (5x)(1) (-3)(2x) (-3)(1) Combine like terms

Your turn What is the simpler form of each product? Answers or

e)What is the area of a rectangle with length 2x + 1 and width 5x - 2? f) What is the surface area of the cylinder? 5x-2 Answer: 2x+1 x+1 Answer: x+4

Multiply There are special rules you can use to simplify the square of a binomial or the product of a sum and a difference 

Your turn What is the simpler form? Answer

Take a note The product of a sum and a difference of the same two terms also produces a pattern Words: the product of the sum and difference of the same two terms is the difference of their squares Your turn What is the simpler form of? Answer:

Classwork odd Homework even TB pgs 489-490 exercises 8-41 pgs 495-497 exercises 9-49

(a+b) a b a (a+b) b