Name:_________________________________
H2L6
Accordino-Math 7
Date:_________
Period:________
Lesson 6: Factoring Difference of Two Perfect
Squares
Bellringer
1. 4𝑥 2 can be rewritten as which of the following?
a. 2(𝑥)2
b. 22 (𝑥)2
c. 𝑥 8
d. 16𝑥
2. (𝑥 − 6)(𝑥 − 2) is the factored form of which of the following expressions?
a.
b.
c.
d.
𝑥 2 − 4𝑥 − 12
2𝑥 2 − 4𝑥 − 12
𝑥 2 − 8𝑥 − 12
𝑥 2 − 8𝑥 + 12
Name:_________________________________
H2L6
Accordino-Math 7
Date:_________
Period:________
Lesson 6: Factoring Difference of Two Perfect Squares
Notes
What is a Perfect Square?
List all of the perfect squares from 1 – 100:
This expression is called a difference of two squares.
(Notice the subtraction sign between the terms.)
The factors of
are
Factoring Difference of
Two Perfect Squares:
and
Name:_________________________________
Accordino-Math 7
You Try!
H2L6
Date:_________
Period:________
Name:_________________________________
H2L6
Accordino-Math 7
Date:_________
Period:________
Homework:
Factor the following Difference of Perfect Squares.
1. x2 – 25
2. x2 – 9
3. x2 – 81
4. x2 – 49
5. x2 – 36
6. 9x2 – 16
7. x2 – 1
8. 64x2 – 9
9. 144x2 – 169
2
10. 16x – 9
2
11. x – 121
2
12. 25x – 9
Factor out a GCF if necessary. Then determine if this is a Difference of Perfect Squares and factor
accordingly.
13. 8x2 – 12
14. x2 + 81
15. 16x2 – 25
16. 12x2 – 8
17. 18x2 – 8
18. 50x2 + 8
Name:_________________________________
H2L6
Accordino-Math 7
Period:________
Lesson 6: Factoring Difference of Two
Perfect Squares
Exit Ticket
1. Factor completely:
16𝑥 2 − 9
2. The expression
1)
2)
3)
4)
3.
Date:_________
is equivalent to