11X1 T01 04 algebraic fractions (2011)

Download 11X1 T01 04 algebraic fractions (2011)

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  • 1. Algebraic Fractions

2. Algebraic Fractions1) Always FACTORISE FIRST2) Only cancel ( ), not parts of them 3. Algebraic Fractions 1) Always FACTORISE FIRST 2) Only cancel ( ), not parts of them16a 3b 2 ce.g. (i )24ab3c 3 4. Algebraic Fractions 1) Always FACTORISE FIRST 2) Only cancel ( ), not parts of them16a 3b 2 c 2a 2e.g. (i )3 3 24ab c 3bc 5. Algebraic Fractions 1) Always FACTORISE FIRST 2) Only cancel ( ), not parts of them16a 3b 2 c 2a 2e.g. (i )3 3 24ab c 3bcap 2 aq 2(ii )2ap 2aq 6. Algebraic Fractions 1) Always FACTORISE FIRST 2) Only cancel ( ), not parts of them16a 3b 2 c 2a 2e.g. (i )3 3 24ab c 3bcap aq22a p2 q2 (ii ) 2ap 2aq 2a p q a p q p q 2a p q 7. Algebraic Fractions 1) Always FACTORISE FIRST 2) Only cancel ( ), not parts of them16a 3b 2 c 2a 2e.g. (i )3 3 24ab c 3bcap aq22 a p2 q2 (ii ) 2ap 2aq 2a p q a p q p q 2a p q p q2 8. 9 x2 1 x 1(iii ) 2 3x 1 3x 2 x 1 9. 9 x2 1 x 1(iii ) 2 3x 1 3x 2 x 1 3x 1 3x 1 x 1 3x 1 3x 1 x 1 10. 9 x2 1 x 1(iii ) 2 3x 1 3x 2 x 1 3x 1 3x 1 x 1 3x 1 3x 1 x 11 11. 9 x2 1 x 1(iii ) 2 3x 1 3x 2 x 1 3x 1 3x 1 x 1 3x 1 3x 1 x 11 ab 2b 2 a 2 4ab 4b 2(iv) 26a b3a 12. 9 x2 1 x 1(iii ) 2 3x 1 3x 2 x 1 3x 1 3x 1 x 1 3x 1 3x 1 x 11 ab 2b 2 a 2 4ab 4b 2(iv) 26a b3a b a 2b 3a = a 2b 2 26a b 13. 9 x2 1 x 1(iii ) 2 3x 1 3x 2 x 1 3x 1 3x 1 x 1 3x 1 3x 1 x 11 ab 2b 2 a 2 4ab 4b 2(iv) 26a b3ab a 2b 3a = a 2b 22 6a b 1 = 2a a 2b 14. a 1 a 1(v ) 2 a2 a a a 15. a 1a 1(v ) 2 a2 a a a a 1 a 1 a a 1 a a 1 16. a 1a 1(v ) 2 a2 a a a a 1 a 1 1. create a common denominator a a 1 a a 1if its not there, put it down a a 1 a 1 17. a 1a 1(v ) 2 a2 a a a a 1 a 1 1. create a common denominator a a 1 a a 1if its not there, put it down a a 1 a 12. compare the old denominator with the new denominator, and ask yourself;whats different? 18. a 1a 1(v ) 2 a2 a a a a 1 a 1 1. create a common denominator a a 1 a a 1if its not there, put it down a a 1 a 12. compare the old denominator with the new denominator, and ask yourself;whats different?3. that is what you multiply thenumerator by 19. a 1 a 1(v ) 2 a2 a a a a 1 a 11. create a common denominator a a 1 a a 1 if its not there, put it down a 12 a a 1 a 1 2. compare the old denominator with thenew denominator, and ask yourself; whats different? 3. that is what you multiply the numerator by 20. a 1 a 1(v ) 2 a2 a a a a 1 a 11. create a common denominator a a 1 a a 1 if its not there, put it down a 1 a 1 2 2 a a 1 a 1 2. compare the old denominator with thenew denominator, and ask yourself; whats different? 3. that is what you multiply the numerator by 21. a 1 a 1(v ) 2 a2 a a a a 1 a 11. create a common denominator a a 1 a a 1 if its not there, put it down a 1 a 1 2 2 a a 1 a 1 2. compare the old denominator with the a 2 2a 1 a 2 2a 1new denominator, and ask yourself; a a 1 a 1 whats different? 3. that is what you multiply the numerator by 22. a 1 a 1(v ) 2 a2 a a a a 1 a 11. create a common denominator a a 1 a a 1 if its not there, put it down a 1 a 1 2 2 a a 1 a 1 2. compare the old denominator with the a 2 2a 1 a 2 2a 1new denominator, and ask yourself; a a 1 a 1 whats different? 4a a a 1 a 13. that is what you multiply the numerator by 23. a 1 a 1(v ) 2 a2 a a a a 1 a 11. create a common denominator a a 1 a a 1 if its not there, put it down a 1 a 1 2 2 a a 1 a 1 2. compare the old denominator with the a 2 2a 1 a 2 2a 1new denominator, and ask yourself; a a 1 a 1 whats different? 4a a a 1 a 13. that is what you multiply the4numerator by a 1 a 1 24. 11 2(vi ) 2 x y x y x y22 2 25. 11 2(vi ) 2 x y x y x y22 21 1 2 x y x y x y x y 2 2 26. 11 2(vi ) 2 x y x y x y22 21 1 2 x y x y x y x y 2 2 x y x y2 2 27. 11 2(vi ) 2 x y x y x y22 21 1 2 x y x y x y x y 2 2 x y 2 x y x y22 28. 11 2(vi ) 2 x y x y x y22 21 1 2 x y x y x y x y 2 2 x y x y22 x y x y 22 29. 11 2(vi ) 2 x y x y x y22 21 1 2 x y x y x y x y 2 2 x y x y 2 x y x y 2 2 x y x y 22 30. 11 2(vi ) 2 x y x y x y22 21 1 2 x y x y x y x y 2 2 x y x y 2 x y x y 2 2 x y x y 22 x 2 2 xy y 2 x 2 2 xy y 2 2 x 2 2 y 2 x y x y 22 31. 11 2(vi ) 2 x y x y x y22 21 1 2 x y x y x y x y 2 2 x y x y 2 x y x y 2 2 x y x y 22 x 2 2 xy y 2 x 2 2 xy y 2 2 x 2 2 y 2 x y x y 22 4 y2 x y x y2 2 32. 11 2(vi ) 2 x y x y x y22 21 1 2 x y x y x y x y 2 2 x y x y 2 x y x y 2 2 x y x y 22 x 2 2 xy y 2 x 2 2 xy y 2 2 x 2 2 y 2 x y x y 22 4 y2 x y x y2 2 Exercise 1D; 1cf, 2cfil, 3cfil, 4cgk, 5cfi, 6ace, 7bdf, 8ace, 9ace etc, 11aceg, 12, 13*bc