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Factoring Differences of Two Squares in Algebra

Learn to identify and factor differences of two squares completely. Understand the conditions for a binomial to be a difference of two squares and solve examples to master the concept. Improve your skills through guided practice and pair sharing activities.

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Factoring Differences of Two Squares in Algebra

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  1. 4 minutes Factor. 1) 2x2 + 4x - 6 2 (x+3) (x-1) 2) 3x2 – 21x + 36 3 (x-3) (x-4) 3) 4x2 + 2x - 6 2 (2x+3) (x-1) 4) 6x2 + 13x + 6 (2x+3) (3x+2) Pair Share #5 5-Min Check 5) Write a short paragraph about 1 thing you learned about factoring. Then write about 1 thing you are still having trouble with.

  2. Day 5 Differences of Two Squares Objectives: Students learn to recognize a difference of two squares and factor a difference of two squares completely. Mastery is 80% or better on 5-min checks and Indy work.

  3. For a binomial to be a difference of two squares, two conditions must be true: 1) There must be two terms, both perfect squares. 2) There must be a minus sign between the two terms. x2 - 36 x2 - 9 x2 - 16 Difference of Two Squares-Skill Dev 4x2 - 25 x2 - 4 x2 - 1 x2 - 81

  4. State whether each expression is a difference of two squares. a) x2 - 100 b) x2 + 25 c) 4x2 - 9 d) 2x2 - 36 e) -49 + x2 Example 1-Skill Develop

  5. Factor. x2 - 16 ( )( ) x x + 4 - 4 Note***In the final answer the factors are the same except one is positive and the other negative. This is always true w a difference of Squares……….why? Example 2- Skill Develop

  6. Factor. x2 - 49 ( )( ) x x + 7 - 7 Example 3- Skill Develop

  7. Factor. 1) x2 - 4 2) x2 - 64 3) x2 - 1 In order to be a difference of squares…… Guided Practice

  8. Factor. 25x2 - 4 ( )( ) - 2 5x 5x + 2 Example 4- Guided Pract

  9. Factor. 16x2 – 49y2 ( )( ) - 7y 4x 4x + 7y Example 5- Guided Pract

  10. Factor. 81x4 – 144 ( )( ) - 12 9x2 9x2 + 12 Example 6-Think…Ink…Share

  11. Factor. 1) 4x2 - 25 2) 36x2 – 64y2 3) 49x4 - 1 4) 16m4 – n8 PAIR SHARE In factoring all Polynomials there are operations performed across the board. In your own words walk me through the steps in factoring any polynomial…binomial, trinomial, polynomial…… Practice- White Boards Will all Diff of Squares start off as Binomials…..explain?

  12. Factor. 32x2 – 50y2 2( ) 16x2 – 25y2 2( )( ) - 5y 4x 4x + 5y Example 7

  13. Factor. 1) 27x2 – 48 2) 5x4 - 80 Practice- Indy CFU

  14. Objectives: • Students learn to recognize a difference of two squares and factor a difference of two squares completely. • Mastery is 80% or better on 5-min checks and Indy work. What was the Objective?

  15. Alg Text 6.2 p.268 #2-76 even Quiz Tomorrow Share Out Tell me what today’s objective(s) was, 2 things you learned and something you still don’t quite get. Homework

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