[PDF] [PDF] Factoring the Difference of Squares

[PDF] Factoring the Difference of Squares

Intermediate Algebra Skill Factoring the Difference of Squares Factor each completely 1) 9x 2 − 1 2) 4n 2 − 49 3) 36k 2 − 1 4) p 2 − 36 5) 2x 2 − 18

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Explain what the picture above represents Extension Task 2: A lot of numbers can be written as the difference between two squares For example, 15 = 8² - 7²

[PDF] Factoring the Difference of Squares worksheet

Elementary Algebra Skill Factoring the Difference of Squares Factor each completely 1) a 2 − 49 2) a 2 − 64 3) p 2 − 144 4) b 2 − 25 5) x 2 − 9 6) x

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Difference Between Two Squares Video 120 on www corbettmaths com Question 1: Factorise each of the following (a) x² − 25 (b) y² − 49 (c) w² − 100

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2016 Kuta Software LLC All rights reserved ID: 1 Date Date Period Difference of Two Squares Factor each completely 1) 4962 – 25 2) 81r? – 25 3) 121n?

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[PDF] Factoring a Difference of Squares

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Intermediate Algebra Skill

Factoring the Difference of Squares

Factor each completely.

1) 9 x

2 - 12)

4 n

2 - 49

3) 36
k

2 - 14)

p

2 - 36

5) 2 x

2 - 186)

196
n

2 - 144

7) 180
m

2 - 58)

294
r

2 - 150

9) 150
k

2 - 21610)

20 a

2 - 45

11) 3 n

2 - 7512)

24
x

3 - 54

x 13) a

2 - 25

b 214)
4 x

2 + 49

y 2 15) 25
x

2 + 16

y 216)
6 a

2 + 96

b 2 17) x 2 - 9 y 218)
49
x

2 - 25

y 2 19) 9 x

2 - 16

y 220)
54
v 2 - 6 u 2 21)
36
a

4 - 25

b 422)
2 x 4r - 72 y 4r 23)
125
m

4 - 20

n 424)
216
x 4ay - 6 y 5a 25)
4 x

4 - 144

y 426)
4 x 4m - 36 y 4m 27)
7 x

4 - 28

y 428)
7 x

4 - 343

y 4 29)
16 m 6 - n 630)
64
x 6 - y 6

Answers to Factoring the Difference of Squares

1) 3 x + 1)( 3 x - 1)2) 2 n + 7)( 2 n - 7)3) 6 k + 1)( 6 k - 1)4) p + 6)( p - 6) 5) 2( x + 3)( x - 3)6) 4( 7 n + 6)( 7 n - 6)7) 5( 6 m + 1)( 6 m - 1)8) 6( 7 r + 5)( 7 r - 5) 9) 6( 5 k + 6)( 5 k - 6)10) 5( 2 a + 3)( 2 a - 3)11) 3( n + 5)( n - 5) 12) 6 x 2 x + 3)( 2 x - 3)13) a + 5 b a - 5 b )14) Not factorable

15) Not factorable

16) 6( a

2 + 16

b 2)17) x + 3 y x - 3 y 18) 7 x + 5 y 7 x - 5 y )19) 3 x + 4 y 3 x - 4 y )20) 6( 3 v u 3 v u 21)
6 a 2 + 5 b 2)( 6 a 2 - 5 b 2)22) 2 r x 2 + 6 y 2)( x 2 - 6 y 2)23) 5( 5 m 2 + 2 n 2)( 5 m 2 - 2 n 2) 24)
6 ay 6 x 2 + y 2)( 6 x 2 - y 2)25) 4( x 2 + 6 y 2)( x 2 - 6 y 2)26)quotesdbs_dbs14.pdfusesText_20