SWBAT: Factor using the Difference of Two Perfect Squares
Lesson 10-13
Do Now:
What are perfect square NUMBERS??
What are perfect square VARIABLES??
1
SWBAT: Factor using the Difference of Two Perfect Squares
Lesson 10-13
Factoring Difference of Two Perfect Squares
(​a​  b​)(​a​ ​ b​)​ ​ a​ 2​ ​ b​2​
ALWAYS LOOK FOR A ____________ FIRST!!!!
In order to factor using DIFFERENCE OF TWO PERFECT SQUARES, ALL of the following
conditions MUST BE MET:
1) Determine whether each binomial is a difference of two squares. If so factor the binomial.
a)
b)
c)
x2 – 16
x2 – 49
x4 - 25
d)
4x2 – 100
e)
16x2 – 81
f)
9x2 + 16
2
SWBAT: Factor using the Difference of Two Perfect Squares
Lesson 10-13
2) More challenging factoring
a)
b)
1​  25​x​ ​
36​  x​ ​
2
c)
2
d)
4​x​ ​  25​x​ ​
6
x ​ ​ 169​
4
16
Steps for Factoring Completely
Factor polynomials completely
a)
x​ ​  4​ x​
3
b)
2​ x ​ ​ 32​
2
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SWBAT: Factor using the Difference of Two Perfect Squares
Lesson 10-13
2)
3​x ​ ​ 6​ x​ ​ 3​
3)
2
4)
2​x​ ​  16​x​ ​ ​ 32​x​
3
2
4​ x ​ ​ 4​ x​ ​ 48​
2
5)
18​x​ ​  8​x​
3
4
SWBAT: Factor using the Difference of Two Perfect Squares
Lesson 10-13
Summary
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SWBAT: Factor using the Difference of Two Perfect Squares
Lesson 10-13
LESSON PRACTICE
6
SWBAT: Factor using the Difference of Two Perfect Squares
Lesson 10-13
LESSON PRACTICE ANSWERS
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