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Respuestas

Sección 0.6. Productos Notables y Factorización

  1. \(4x^{2}-5\)
  2. \(4x-y\)
  3. \(9x^{4}-16y^{6}\)
  4. \(h\)
  5. \(\dfrac{xy^{2}-1}{y^{2}}\)
  6. \(a^{2}+2ab+b^{2}-c^{2}\)
  7. \(16x^{2}+40x+25\)
  8. \(4x^{2}-20xy+25y^{2}\)
  9. \(\dfrac{x^{4}-2x^{2}+1}{x^{2}}\)
  10. \(\dfrac{x^{12}-2x^{6}+1}{x^{6}}\)
  11. \(64x^{3}+48x^{2}y+12xy^{2}+y^{3}\)
  12. \(a^{6}+3a^{4}b^{2}+3a^{2}b^{4}+b^{6}\)
  13. \(x^{6}-3x^{4}y+3x^{2}y^{2}-y^{3}\)
  14. \(x+3\sqrt[3]{x^{2}y}+3\sqrt[3]{xy^{2}}+y\)
  15. \(x^{4}-50x^{2}+625\)
  16. \(16x^{4}-y^{4}\)
  17. \(16x^{4}-24x^{2}y^{2}+9y^{4}\)
  18. \(x^{6}y^{3}-3x^{4}y^{4}+3x^{2}y^{5}-y^{6}\)
  19. \(32x^{3}+16x^{2}+2x\)
  20. \(81x^{4}-72x^{2}y^{2}+16y^{4}\)
  21. \(y^{6}-3y^{4}+3y^{2}-1\)
  22. \(-85m^{2}+314mn-85n^{2}\)
  23. \(7x^{2}\left(x-9\right)\)
  24. \(4xy^{2}z^{2}\left(2xz-6y-x^{2}y^{2}z\right)\)
  25. \(2ab^{2}\left(x^{2}-2xy+3y^{2}\right)\)
  26. \(r^{2}s^{2}t^{2}\left(s^{2}t+rs+rt^{2}\right)\)
  27. \(y^{2n}\left(y^{n}-y+1\right)\)
  28. \(a^{n}\left(a^{n+1}+a^{2}+a\right)\)
  29. \(\left(z+2\right)\left(z-3\right)\)
  30. \(\sqrt{x}\left(x-1\right)\left(x+1\right)\)
  31. \(\left(\dfrac{1}{\sqrt{x}}\right)\left(x+3\right)\left(x+1\right)\)
  32. \(\dfrac{\left(x+1\right)^{2}}{x^{3/2}}\)
  33. \(x\left(x-2\right)\left(x-1\right)^{3/2}\)
  34. \(\dfrac{x^{2}+3}{\sqrt{x^{2}+1}}\)
  35. \(\dfrac{2x+1}{\sqrt{x}\sqrt{x+1}}\)
  36. \(2\left(x^{2}+4\right)^{4}\left(x-2\right)^{3}\left(7x^{2}-10x+8\right)\)
  37. \(\left(2x-1\right)^{2}\left(x+3\right)^{-1/2}\left(7x+\frac{35}{2}\right)\)
  38. \(\left(x^{2}+3\right)^{-4/3}\left(\frac{1}{3}x^{2}+3\right)\)
  39. \(\left(x^{2}+3\right)^{-4/3}\left(\frac{1}{3}x^{2}+3\right)\)
  40. \(\left(x-2\right)^{2}\left(x+2\right)\)
  41. \(4\left(y+4\right)\left(y+3x\right)\)
  42. \(\left(x-1\right)\left(xy^{2}+y^{2}-4\right)\)
  43. \(\left(2x-5y\right)\left(a^{2}-3b\right)\)
  44. \(\left(c+d\right)\left(a+2b\right)\)
  45. \(\left(2a^{2}+5\right)\left(5a-2\right)\)
  46. \(\left(3s-t\right)\left(2t^{2}+9s^{2}\right)\)
  47. \(\left(t^{2}+1\right)\left(t^{4}+1\right)\)
  48. \(\left(x-y\right)\left(ab+ac+bc\right)\)
  49. \(\left(a^{2}+b^{2}\right)\left(a+b\right)^{2}\left(a-b\right)^{2}\)
  50. \(\left(x+8\right)\left(x-6\right)\)
  51. \(\left(x-5\right)\left(x+1\right)\)
  52. \(\left(y+29\right)\left(y-1\right)\)
  53. \(\left(x+24\right)\left(x-9\right)\)
  54. \(-\left(x+5\right)\left(x-4\right)\)
  55. \(\left(3x+4\right)\left(x+1\right)\)
  56. \(5\left(y-3\right)\left(y+5\right)\)
  57. \(\left(3x+5\right)\left(3x-10\right)\)
  58. \(\left(ab+4\right)\left(ab-3\right)\)
  59. \(\left(ax+2\right)\left(5ax-6\right)\)
  60. \(y^{2}\left(4x+3\right)\left(x+2\right) \)
  61. \(\left(x^{2}+8\right)\left(x-\sqrt{10}\right)\left(x+\sqrt{10}\right)\)
  62. \(\left(5x^{2}-1\right)^{2}\)
  63. \(\left(5x+3\right)\left(x-2\right)\)
  64. \(\left(3x-y\right)\left(7x-y\right)\)
  65. \(\left(3x-5\right)\left(4x-3\right)\)
  66. \(\left(3x-4\right)\left(2x+7\right)\)
  67. \(\left(x^{2}+5\right)\left(x-1\right)\left(x+1\right)\)
  68. \(\left(x-3\right)\left(x+3\right)\left(x-1\right)\left(x+1\right)\)
  69. \(\left(5x+6y^{2}\right)\left(5x-6y^{2}\right)\)
  70. \(7x^{2}\left(3x+1\right)\left(3x-1\right)\)
  71. \(5x^{2}\left(3y+x\right)\left(3y-x\right)\)
  72. \(\left(\dfrac{x}{6}+\dfrac{y}{5}\right)\left(\dfrac{x}{6}-\dfrac{y}{5}\right)\)
  73. \(\left(4x^{n}+\frac{1}{7}\right)\left(4x^{n}-\frac{1}{7}\right)\)
  74. \(\left(a-b-3\right)\left(a-b+3\right)\)
  75. \(4ab\)
  76. \(\left(x-y+1\right)\left(x+y-3\right)\)
  77. \(\left(x+y-3\right)\left(x-y+1\right)\)
  78. \(\left(a-5b\right)\left(5a-b\right)\)
  79. \(\left(a-1\right)^{2}\left(a+1\right)^{2}\)
  80. \(\left(4x-3y\right)^{2}\)
  81. \(\left(20x^{2}+1\right)^{2}\)
  82. \(\dfrac{\left(x+3\right)^{2}}{9}\)
  83. \(\dfrac{\left(8x-5\right)^{2}}{400}\)
  84. \(\left(2x-y\right)\left(4x^{2}+2xy+y^{2}\right)\)
  85. \(\left(3a+4b\right)\left(9a^{2}-12ab+16b^{2}\right)\)
  86. \(5\left(xy+1\right)\left(x^{2}y^{2}-xy+1\right)\)
  87. \(x^{2}\left(x-5\right)\left(x^{2}+5x+25\right)\)
  88. \(\left(x+y-1\right)\left(x^{2}+2xy+x+y^{2}+y+1\right)\)
  89. \(\left(x-y-2\right)\left(x^{2}-2xy+2x+y^{2}-2y+4\right)\)
  90. \(9\left(x^{2}-x+1\right)\)
  91. \(\left(x-8\right)\left(x+8\right)\)
  92. \(\left(3xy+4\right)\left(3xy-4w^{3}\right)\)
  93. \(\left(x^{2n}-y^{3n}\right)\left(x^{2n}+y^{3n}\right)\)
  94. \(\left(y^{2}+4\right)\left(y+2\right)\left(y-2\right)\)
  95. \(\left(x+1\right)^{2}\left(x^{2}-x+1\right)^{2}\)