FACTORING TECHNIQUES WORKSHEET * Difference of Two Squares

1. Mathematics 8 Worksheet Algebra 1st
Quarter Mr. Carlo Justino J. Luna
Republic of the Philippines | DEPARTMENT OF EDUCATION
Region III | Division of City Schools | West District
Tamarind St., Clarkview Subd., Malabanias, Angeles City
School Year 2018-2019
NAME: ________________________________________ SCORE: __________________
GRADE & SECTION: _____________________________ DATE: ____________________
1st Quarter Worksheet #7
Worksheet on factoring the difference of two squares will help us to factorize an algebraic expression
using the following identity: 𝒙 𝟐
− 𝒚 𝟐
= (𝒙 + 𝒚)(𝒙 − 𝒚)
Find the factors of each expression.
1. 𝑥2
− 25
2. 4𝑦2
− 9
3. 9𝑎2
− 1
4. 36𝑏2
− 1
5. 4𝑐2
− 49
6. 𝑑2
− 36
7. 16𝑒2
− 25
8. 25𝑚2
− 4
9. 9𝑛2
− 100
10.49𝑝2
− 81
11.4𝑥2
− 9
12.25𝑦2
− 𝑧2
13. 𝑎2
− 25𝑏2
14.16𝑚2
− 81𝑛2
15.25𝑥6
− 16𝑦8
16.36𝑝4
− 9𝑞6
17. 𝑎10
− 4𝑏8
18.2𝑥2
− 18
19.3𝑏2
− 75
20.8𝑦2
− 50

2. Mathematics 8 Worksheet Algebra 1st
Quarter Mr. Carlo Justino J. Luna
Republic of the Philippines | DEPARTMENT OF EDUCATION
Region III | Division of City Schools | West District
Tamarind St., Clarkview Subd., Malabanias, Angeles City
School Year 2018-2019
NAME: ________________________________________ SCORE: __________________
GRADE & SECTION: _____________________________ DATE: ____________________
1st Quarter Worksheet #7
Worksheet on factoring the difference of two squares will help us to factorize an algebraic expression
using the following identity: 𝒙 𝟐
− 𝒚 𝟐
= (𝒙 + 𝒚)(𝒙 − 𝒚)
Find the factors of each expression.
1. 𝑥2
− 25
= (𝑥 + 5)(𝑥 − 5)
2. 4𝑦2
− 9
= (2𝑦 + 3)(2𝑦 − 3)
3. 9𝑎2
− 1
= (3𝑎 + 1)(3𝑎 − 1)
4. 36𝑏2
− 1
= (6𝑏 + 1)(6𝑏 − 1)
5. 4𝑐2
− 49
= (2𝑐 + 7)(2𝑐 − 7)
6. 𝑑2
− 36
= (𝑑 + 6)(𝑑 − 6)
7. 16𝑒2
− 25
= (4𝑒 + 5)(4𝑒 − 5)
8. 25𝑚2
− 4
= (5𝑚 + 2)(5𝑚 − 2)
9. 9𝑛2
− 100
= (3𝑛 + 10)(3𝑛 − 10)
10.49𝑝2
− 81
= (7𝑝 + 9)(7𝑝 − 9)
11.4𝑥2
− 9
= (2𝑥 + 3)(2𝑥 − 3)
12.25𝑦2
− 𝑧2
= (5𝑦 + 𝑧)(5𝑦 − 𝑧)
13. 𝑎2
− 25𝑏2
= (𝑎 + 5𝑏)(𝑎 − 5𝑏)
14.16𝑚2
− 81𝑛2
= (4𝑚 + 9𝑛)(4𝑚 − 9𝑛)
15.25𝑥6
− 16𝑦8
= (5𝑥3
+ 4𝑦4
)(5𝑥3
− 4𝑦4
)
16.36𝑝4
− 9𝑞6
= (6𝑝2
+ 3𝑞3)(6𝑝2
− 3𝑞3
)
17. 𝑎10
− 4𝑏8
= (𝑎5
+ 2𝑏4
)(𝑎5
− 2𝑏4
)
18.2𝑥2
− 18
= 2(𝑥2
− 9)
= 2(𝑥 + 3)(𝑥 − 3)
19.3𝑏2
− 75
= 3(𝑏2
− 25)
= 3(𝑏 + 5)(𝑏 − 5)
20.8𝑦2
− 32
= 2(4𝑦2
− 16)
= 2(2𝑦 + 4)(2𝑦 − 4)