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ANSWERS.

Note. In the following collection of answers, all those are omitted which, if given, would destroy the utility of the example.

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4. 35 and 7.

5. A, 31; B, 37.

Art. 43; page 12.

6. A, $536; B, $664.

7. $0.93.

12. Horse, $275;

13. 15, 45, and 48.

8. A, $20; B, $60; C, $180.

9. 52 and 73.

10. 13, 39, and 46.

11. A, $28; B, $43; C, $56. carriage, $100; harness, $25.

14. 35, 70, and 105.

15. Cow, $45; sheep, $18; hog, $12.

Art. 57; page 19.

4. 2a 2b+2d.

6. 4a2.

7.

2 a2 - ab.

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7. -4abc-14x-2y-148. 11. 4m-8n-r+3s.

8. 2m-4y2+ 12 a + 1.

9. 14x2-8y+5 ab-7.

12. 6d-2b-3a-3c.

13. 5m2+9n3 - 71x.

14. 3a-2b+10c13d+2x.

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16. xx3-3x2-8x+11. 21. 6a+9a+a2-a-6. 17. 4a36a2b-2ab29b3. 22. -3x-5x2y+8xy2+2ys 18. 4a-3a+6a2-6a+3. 23. 5x+7x2+18x.

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25. 5x+6xy-7y2-6x-7y+6.

26. 3x-5x-23-1122+4x-2.

27. 4x+9xy-4xy2-3y3. 28. 4a+7a3-2a-4.

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8. b3 - a3.

11. 6x3-16xy+6xy2+4y3.

9. 10a4b2-3 a3b3 — 18 a2b1. 12. 2m-8 m3n + 18 mn3.

10. ax1

a.

13. x+4x+3.

14. 30a3-43a2b+39 ab2-20 b3.

15. 8x14x2. - 18x+21. 16. a2b2+2bc-c2.

17. 224-23 +8x-5.

18. 6x+13a-70x2+71x - 20.

19. 624-1923 +22x+5. 20. -m5-37 m2+70m-50. 21.625x+7x+81x2+3x-28.

22. 2a5b2-3 a1b3 — 7 a3b1 +4 a2b5.

23. 422m+7y3-16x+6yn+1+12xy2-1.

24. x++ x2y2+y+.

25. 16a1 +4 a2b2 + b1.

26. 12x+7x+5x2+10x-4.

27. m – 3 môn tmn3n.

28. 243-81x1y-3xy+y.

29. a5 - 5 a1b + 10a3b2 — 10 a2b3 + 5 ab1 — b3.

30. 23+y3+z3 — 3 xyz.

31. 626-11

+144-12a3+6x2-23x+5.

32. a2b2+ c2d2- a2c2-b2d2.

36. 36 m3-49 m +20.

33. 8a6-98 a++152 a2-32. 37. 9-13x2+4.

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2. a2 + b2 + c2 + d2 + 2 ab + 2 ac + 2 ad +2bc + 2 bd + 2 cd.

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6. a-2b.

10. 3x-1.

11. 4m2-10m+7.

9. -2x2-2ax. 12. 9x-3xy+y2.

13. 8 m3 +4 m2 + 2m+1. 15. 4a2+12ab+962.

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23. a6-3a+b+9 a2b2 — 27 b3. 24. x-y+2.

25. 3x+6x-2x-4.

26. y (x1 — x3y + x2y2 — xy3 +y1).

27. 5m2-4m+3.

28. 3x2-2x+1.

29. 3 (a*+a3b + a2b2 + ab3 +b1).

30. 8x+4x+1. 33. x2-2x-1. 36. 2-x+1.

31. 9x9x-4.

34. 3x2-5xy-2y2. 37. 3x2+6x+9. 32. x2-2xy + y2. 35. a2+3 ab+5b2. 38. x2-2x-3.

39. m3 - m2 - 14 m + 24.

40. x+y.

41. x2y-xy2.

42. x3-2x2+x−2.

44. x2x2-x+1.

50. x + a.

51. (b+c)a+bc.

52. (x+y) −3.

43. a3-2ab-5ab2+7b3. 53. (a+b)2- (a+b)+1.

45. x+2y-3z.

46. a"-b" +c".
47. 23+2x2-x+1.
48. 2a2ab+2b2.

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