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9.2 – Adding & Subtracting Rational Expressions

9.2 – Adding & Subtracting Rational Expressions. 9.2 – Adding & Subtracting Rational Expressions. Remember adding & subtracting fractions?. 9.2 – Adding & Subtracting Rational Expressions. Remember adding & subtracting fractions? Have to get a common denominator !.

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9.2 – Adding & Subtracting Rational Expressions

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  1. 9.2 – Adding & Subtracting Rational Expressions

  2. 9.2 – Adding & Subtracting Rational Expressions • Remember adding & subtracting fractions?

  3. 9.2 – Adding & Subtracting Rational Expressions • Remember adding & subtracting fractions? • Have to get a common denominator!

  4. 9.2 – Adding & Subtracting Rational Expressions • Remember adding & subtracting fractions? • Have to get a common denominator! 2 _ 3 3 4

  5. 9.2 – Adding & Subtracting Rational Expressions • Remember adding & subtracting fractions? • Have to get a common denominator! 2 _ 3 3 4 4 . 2 43

  6. 9.2 – Adding & Subtracting Rational Expressions • Remember adding & subtracting fractions? • Have to get a common denominator! 2 _ 3 34 4 . 2 _ 3 . 3 4343

  7. 9.2 – Adding & Subtracting Rational Expressions • Remember adding & subtracting fractions? • Have to get a common denominator! 2 _ 3 3 4 4 . 2 _ 3 . 3 = 8 4 3 4 312

  8. 9.2 – Adding & Subtracting Rational Expressions • Remember adding & subtracting fractions? • Have to get a common denominator! 2 _ 3 3 4 4 . 2 _ 3 . 3 = 8 _ 9 4 3 4 3 12 12

  9. 9.2 – Adding & Subtracting Rational Expressions • Remember adding & subtracting fractions? • Have to get a common denominator! 2 _ 3 3 4 4 . 2 _ 3 . 3 = 8 _ 9 = 4 3 4 3 12 12

  10. 9.2 – Adding & Subtracting Rational Expressions • Remember adding & subtracting fractions? • Have to get a common denominator! 2 _ 3 3 4 4 . 2 _ 3 . 3 = 8 _ 9 = _ 1 4 3 4 3 12 12 12

  11. 9.2 – Adding & Subtracting Rational Expressions • Remember adding & subtracting fractions? • Have to get a common denominator! 2 _ 3 3 4 4 . 2 _ 3 . 3 = 8 _ 9 = _ 1 4 3 4 3 12 12 12 • Same w/rational expressions!

  12. Ex. 1 Simplify each expression

  13. a. 6 + 8 ab a Ex. 1 Simplify each expression

  14. a. 6 + 8 ab a 6 + 8 = 6 + ab a ab Ex. 1 Simplify each expression

  15. a. 6 + 8 ab a 6 + 8 = 6 + 8(b) ab a ab a(b) Ex. 1 Simplify each expression

  16. a. 6 + 8 ab a 6 + 8 = 6 + 8(b) ab a ab a(b) = 6 + 8b ab ab Ex. 1 Simplify each expression

  17. a. 6 + 8 ab a 6 + 8 = 6 + 8(b) ab a ab a(b) = 6 + 8b ab ab = 6 + 8b ab Ex. 1 Simplify each expression

  18. a. 6 + 8 ab a 6 + 8 = 6 + 8(b) ab a ab a(b) = 6 + 8b ab ab = 6 + 8b ab Ex. 1 Simplify each expression

  19. a. 6 + 8 ab a 6 + 8 = 6 + 8(b) ab a ab a (b) = 6 + 8b ab ab = 6 + 8b ab b. m _ 2 m2 – 4 3m + 6 Ex. 1 Simplify each expression

  20. a. 6 + 8 ab a 6 + 8 = 6 + 8(b) ab a ab a (b) = 6 + 8b ab ab = 6 + 8b ab b. m _ 2 m2 – 4 3m + 6 m Ex. 1 Simplify each expression

  21. a. 6 + 8 ab a 6 + 8 = 6 + 8(b) ab a ab a (b) = 6 + 8b ab ab = 6 + 8b ab b. m _ 2 m2 – 4 3m + 6 m (m+2)(m-2) Ex. 1 Simplify each expression

  22. a. 6 + 8 ab a 6 + 8 = 6 + 8(b) ab a ab a (b) = 6 + 8b ab ab = 6 + 8b ab b. m _ 2 m2 – 4 3m + 6 m _ 2 (m+2)(m-2) Ex. 1 Simplify each expression

  23. a. 6 + 8 ab a 6 + 8 = 6 + 8(b) ab a ab a (b) = 6 + 8b ab ab = 6 + 8b ab b. m _ 2 m2 – 4 3m + 6 m _ 2 (m+2)(m-2) 3(m + 2) Ex. 1 Simplify each expression

  24. a. 6 + 8 ab a 6 + 8 = 6 + 8(b) ab a ab a (b) = 6 + 8b ab ab = 6 + 8b ab b. m _ 2 m2 – 4 3m + 6 m _ 2 (m+2)(m-2) 3(m + 2) 3m 3(m+2)(m-2) Ex. 1 Simplify each expression

  25. b. m _ 2 m2 – 4 3m + 6 m _ 2 (m+2)(m-2) 3(m + 2) 3m _ 2 (m – 2) 3(m+2)(m-2) 3(m+2)(m-2) Ex. 1 Simplify each expression

  26. b. m _ 2 m2 – 4 3m + 6 m _ 2 (m+2)(m-2) 3(m + 2) 3m _ 2 (m – 2) 3(m+2)(m-2) 3(m+2)(m-2) Ex. 1 Simplify each expression

  27. b. m _ 2 m2 – 4 3m + 6 m _ 2 (m+2)(m-2) 3(m + 2) 3m_ 2 (m – 2) 3(m+2)(m-2) 3(m+2)(m-2) 3m– 2(m – 2) 3(m + 2)(m – 2) Ex. 1 Simplify each expression

  28. b. m _ 2 m2 – 4 3m + 6 m _ 2 (m+2)(m-2) 3(m + 2) 3m_ 2 (m – 2) 3(m+2)(m-2) 3(m+2)(m-2) 3m– 2(m – 2) 3(m + 2)(m – 2) Ex. 1 Simplify each expression

  29. b. m _ 2 m2 – 4 3m + 6 m _ 2 (m+2)(m-2) 3(m + 2) 3m _ 2 (m – 2) 3(m+2)(m-2) 3(m+2)(m-2) 3m– 2(m – 2) 3(m + 2)(m – 2) 3m– 2m + 4 Ex. 1 Simplify each expression

  30. b. m _ 2 m2 – 4 3m + 6 m _ 2 (m+2)(m-2) 3(m + 2) 3m _ 2 (m – 2) 3(m+2)(m-2) 3(m+2)(m-2) 3m – 2(m – 2) 3(m + 2)(m – 2) 3m – 2m + 4 3(m+2)(m–2) Ex. 1 Simplify each expression

  31. b. m _ 2 m2 – 4 3m + 6 m _ 2 (m+2)(m-2) 3(m + 2) 3m _ 2 (m – 2) 3(m+2)(m-2) 3(m+2)(m-2) 3m – 2(m – 2) 3(m + 2)(m – 2) 3m – 2m + 4=m + 4 3(m+2)(m–2) Ex. 1 Simplify each expression

  32. b. m _ 2 m2 – 4 3m + 6 m _ 2 (m+2)(m-2) 3(m + 2) 3m _ 2 (m – 2) 3(m+2)(m-2) 3(m+2)(m-2) 3m – 2(m – 2) 3(m + 2)(m – 2) 3m – 2m + 4=m + 4 _ 3(m+2)(m–2) 3(m+2)(m–2) Ex. 1 Simplify each expression

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