1. 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.

2. 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

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

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

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

6. + + + 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

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

8. 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

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

10. Your turn
What is the simpler form?
Answer

11. 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:

12. Classwork odd Homework even
TB pgs exercises 8-41
pgs exercises 9-49

13. (a+b) a b a
(a+b) b