Name: Date: Topic: WS 9.2 Factoring Difference of Two Squares Period: Main Ideas/Questions Notes/Examples Directions: Simplify the following polynomials. WARM-UP (x +4)(x-4) (5m +1)(5m -1) = . (2a+ 3b)(2a - 3b) = This resulting product is called a DIFFERENCE OF SQUARES. Steps to Factor a First, make sure you have an actual difference of squares! (Must be a subtraction sign and you can square root both terms) DIFFERENCE OF 2 Use the following rule to factor: a2 - b2 = SQUARES 3 Check your work by distributing! Directions: Factor each difference of squares. Check your work by distributing. If a polynomial cannot be factored, write "prime." EXAMPLES 1. a2 - 4 2. n2 - 64 3. 81 - x2 4. c2 - 100 5. K2 + 25 6. 1 - 49y2 7. 962 - 100 8. 25x2 - 49 9. 16a2 - 121 10. x2 - 81y2 11. 4h2 - 25g2 12. 64u2 - v213. x2y2 - 1 14. 81n4 - 25 15. 402 - 5d2 16. 49m4 - 16 17. 26 - 16 18. 4p4 - 25 19. 12176 - 1 20. 64m4 - 9n2 Directions: Look for a GCF first, then factor the remaining difference of squares. Check your work by distributing. EXAMPLES 21. 2n2 - 72 22. 18x2 - 50 WITH A GCF 23. 32s2 - 18u2 24. 45q3 - 20q 25. 24a2 - 5462 26. 10063 - 36b 27. 80n4 - 125n2 28. 8x2y - 32)3 29. 36p3 - 9p 30. 3n2 - 147 31. 16/3 - 100k 32. m'n - mn