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Factoring the Difference of Two Squares Worksheet

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FACTORING TECHNIQUES WORKSHEET
* Difference of Two Squares

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Factoring the Difference of Two Squares Worksheet

  1. 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. 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)

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