SOLUCIÓN A LOS EJERCICIOS

EJERCICIO 41
1. (x – 1)(x + 1) 16. x x x2 1
2. (x + 7)(x – 7) 17. 7 4 5 7 4 5 x x
3. (9 – x)(x + 9) 18. x y x ya b a b3 2 3 2
4. (4x – 3)(4x + 3) 19. a b a bx y x y3 3 3 33 3
5. (a2 + b2)(a – b)(a + b) 20. m ma a2 4 2 45 5
6. (x2 + 8)(x2 – 8) 21. 1 1x xa a
7. 4(5 – 2x)(5 + 2x) 22. m n m nx y x y x y x y3 2 4 3 2 4
8. (6x – 1)(6x + 1) 23. 4 7 4 73 3x y x ya b a b
9. (2 – 5x)(5x + 2) 24. (x + y – 4)(x – y + 2)
10. (2a2 – 3bc)(2a2 + 3bc) 25. (2x + y + 6)(2x – y – 4)
11. (x3 + 6)(x3 – 6) 26. (x – 4y – 1)(x + 4y – 1)
12. (4a2b3+c3)(4a2b3–c3) 27. (3x – 1)(9x – 7)
13. x x 1 2 1 2 1 2
14. x x 2 9 2 9 29 1 1 4 2 x
15. x x 4 7 4 7 30 3 2 3 5 6
EJERCICIO 42
1. (a + 4)2 13. (10a2 – 3b)2 25. (2m – n + 3)2
2. (m – 5)2 14. (a4 + 6bc)2 26. (5a – b)2
3. (n – 4)2 15. (9a6 + 11)2 27. 4n2
4. (x – 3)2 16. (7x3 – 5ay2)2 28. (3a – b)2
5. (x + 6)2 17. (20a5 + 1)2 29. (b – m)2
6. (3a – 5)2 18. (x4 + 9)2 30. x y2 2
7. (11c – 6)2 19. y z 2 2
8. (4a + 3b)2 20. p 3 1 2
9. (2a – 5b)2 21. x y2 2 2
10. (3a + b)2 22. 5 6 1 5 2 2
11. (2a – 3b)2 23. 4 4 3 2 2
12. a2(12x2a – 1)2 24. [3a + 3x – 2]2 36. m3 2 3
EJERCICIO 43
1. (x + 2)(x + 1) 31. (y2 + 12x)(y2 – 5x)
2. (m – 6)(m – 5) 32. (a – b + 8)(a – b – 3)
3. (n – 4)(n – 3) 33. (x2y2 – 11)(x2y2 + 9)
4. (y – 8)(y – 7) 34. (m2n2 + 12) (m2n2 – 11)
5. (x + 6)(x + 1) 35. (n – 18)(n – 16)
6. (x + 4)(x + 3) 36. (y + 25)(y – 22)
7. (a + 6)(a + 4) 37. (c – 44)(c + 22)
8. (b – 5)(b – 2) 38. (a + 21)(a + 12)
9. (m – 5)(m – 4) 39. (x + 33)(x + 11)
10. (y + 3)(y + 1) 40. (t – 54)(t – 45)
11. (x – 4)(x – 1) 41. (x + 8)(3 – x)
12. (n + 4)(n + 2) 42. (4 – x)(x + 3)
13. (a – 18)(a + 2) 43. (x + 8)(5 – x)
14. (y + 6)(y – 5) 44. (7 – x)(x + 6)
15. (x – 9)(x + 2) 45. (8 – 3x)(3x + 2)
16. (x – 10y)(x – 8y) 46. (2x + 9)(1 – 2x)
17. (a – 10b)(a + 5b) 47. (7 – 8x)(8x + 11)
18. (m – 10n)(m + 3n) 48. (13 – 5x)(5x + 11)
19. (x + 8y)(x – 7y) 49. x xa a9 4
20. (m2 + 4)(m – 1)(m + 1) 50. b bx x2 29 8
21. (y – 2)(y + 2)(y2 – 2) 51. y ya a3 364 1
22. (n + 4)(n – 4)(n – 2)(n + 2) 52. x x x xa a a a4 22 1 1 1
23. (a– 6)(a + 6)(a – 1)(a + 1) 53. 9 52 2x xa a
24. (x2 – 10)(x2 + 9) 54. (x – 7)(x – 3)
25. (ab + 4)(ab – 3) 55. 2(x – 9)(2x + 1)
26. (5y + 7)(5y + 6) 56. (5x + y + 7)(5