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Maths
- 45 -

1ere Partie


2eme Partie


3eme Partie


© The scientific sentence. 2013


Mathématiques 45: Algèbre:
Exercices de révision
Factorisations et identitées remarquables


Tester les connaissances:

☛

• Expressions algébriques

• Expressions littérales

• Fatorisations

• Calcul littéral


• Trinômes

• Polynômes

Utiliser le logiciel pour les trinômes:

• Trinôme solutions Calculateur

Ne pas oublier les identités remarquables:

Factoriser

  1. 6ab + 3a
  2. ab – b2
  3. xy + y
  4. a2b – ab2
  5. xy – 2y
  6. - 4 x2 + 3x
  7. 4x2 - 9
  8. 252 - 49
  9. 5x4 + 2x2 - 3x4
  10. x2 (a + 1) + 3(a + 1)
  11. 3(a – 2) – b(2 – a)
  12. a2 - 4
  13. (x – 2)2 - (a – 1)2
  14. 50 – 2x2
  15. 15a7b2 - 10a5b3
  16. 12x2y2 - 18xy³ + 24x³y
  17. (x + 1)2 - 3(x + 1)
  18. 2(n + 1)n + 3(n + 1)
  19. a(x – y) – (y - x)2
  20. (x + 2)(x - 3) – (x - 3)(x + 1)
  21. 3(x – 2)x – (x + 2)2 + (x + 2)
  22. 35x3y2 - 49x2y3
  23. 9x(x + y)3 - 4x2(x + y)2
  24. y(b – a) + x(a – b)
  25. 5x(x + 1)2 - 10x2(x + 1)
  26. 6x2 (u-1) – 4x(1 – u)
  27. x(2a – b) + (b – 2a)
  28. 3x12 +2 y33 + 10 x10 + y5
  29. x3y2 - x2y3
  30. 6x2y + 4xy2
  31. 15x6b2 - 10x4b3
  32. y(b – a) + b(b – a)
  33. 3(x + y) – 2(x – y)
  34. 12a2b2 - 18ab3 + 24a3b
  35. 12x2y3 - 30x3y2 + 18xy4
  36. x3 – x2 – 2x
  37. 3x2 - 9xy2 + 6x
  38. 3xyz3 - 21 x2y2z2 - 6x3y3z
  39. 5a(a + 2)2 - 3a2(a + 2)
  40. 5(x + y – z) – 10x(x + y – z)
  41. 25x3y4z5 + 60x5y2z – 90x4y3z2
  42. 310a4b4c3 - 65a4b3cd
  43. –51a3b4c + 17a3b2c – 32a3b4c5
  44. a(x – y) + b(x – y)
  45. 2a( b – c) – 4c(b – c)
  46. 9a2b(x + y) + 3ab2(x + y)
  47. a(m – n) – b(n – m)
  48. 5a2(b – 2) + 15a(2 – b)
  49. 1/9 – x2
  50. x2 - 144
  51. a2 - 4a – 4
  52. 4 x2 + 2x + 7
  53. x2 - 100
  54. 49 – 14a + a2
  55. 9a2 - 12ab + 4b2
  56. x2 + 4xy + 4y2
  57. 16x2 - 4
  58. a4 – 81
  59. 1 + 2x2 + x4
  60. x2 - 4xy + 4y2
  61. 4x2 - 28x + 49
  62. xy2 - y2z
  63. z2 - 9
  64. 25a2 - 16
  65. 16a2 - 25y2
  66. x2y2z2 - a2b2c2
  67. - 2 x 2 + 10x – 25
  68. a3 - a
  69. (a - 1)2 - 1
  70. a4 – 2a2 + 1
  71. 81a4 – 169
  72. (5x – 2)2 - 4
  73. 25x5y – 49xy3
  74. x2 + x + 1
  75. 2a – 8a3 + 8a5
  76. 64x5 + 16x4 + x3
  77. (a – b)2 - 121
  78. a4 - b4
  79. (2x + 5)2 - (3x – 2)2
  80. x4 + 1 – 2x2
  81. 49x2 - (x – y)2
  82. – x2 + 12x – 36
  83. x2 + 5x + 9
  84. 81x2 - (x – 4)2
  85. 4(a + b)2 - (a – b)2
  86. 3x5 – 48xy7
  87. - 7x2 + 7
  88. 4x2 - (3x + 1)2
  89. x5 – 8x3 + 16x
  90. 16a2 + 9b2 - 24ab7
  91. 25a2 + 10a + 1
  92. x4 + 2x2y + y2
  93. x2 - 2x + 1
  94. 100a2 + 9b6 – 30ab3
  95. 25x4 + 16x2y4 – 40x3y2
  96. 4a5 + 12a3b4 + 9ab
  97. (2a + 1)2 - (3 – a)2
  98. 9a3b3 + - 3ab
  99. 25a2 - (b – 2a)2
  100. ax – by – ay + bx
  101. a3 + 2a – a2 - 2
  102. x2 - y2 + x2y – xy2
  103. x3 + x – x2 - 1
  104. 1 – x2 - y2 + 2xy
  105. ax – x – a + 1
  106. x2 + 4xy – 1 + 4y2
  107. x3 - 2x2 - x + 2
  108. a2x – b2x + a2y – b2y
  109. x2 + 9y2 - 1 – 6xy
  110. ax – 4x + 4y – ay
  111. x2 - 4x – y2 + 4
  112. x + y + ax + ay
  113. ab + a + b + 1
  114. x4 – 2x3 + 4x – 8
  115. 20a3 + 5a2 - 4a – 1
  116. 12ab – 8a + 3b – 2
  117. a3 - b4 + a2b – ab3
  118. x2 + 6x + 9
  119. x2 + 4 – 4x
  120. x2 - 3x + 1
  121. 4x2 + 12x – 9
  122. 2x2 + 20x + 50
  123. x2 - 4x + 4 – y2
  124. x2 + 8x + 12
  125. x2 - 13x + 12
  126. 2x2 + 12x – 32
  127. a2 - 2ab + b2 - 1
  128. a2 - y2 - 2xy – x2
  129. a2 - b2 + 2bc – c2
  130. x2 - 2x – y2 + 1
  131. x2 - 4y2 + 4y – 1
  132. cy + y + c + 1
  133. x2 - 8x + 16
  134. 25x2 + 30x + 9
  135. 4x2 + 2x – 9y2 - 3y
  136. c2 + d – d2 - c
  137. b2y – b2 + a2y – a2
  138. 5a3 + a2 - 20a – 4
  139. a4 – 2a3 + a – 2
  140. x2 + 3x + 2
  141. x2 + 8x + 15
  142. x2 + x – 6
  143. x2 + 5x – 6
  144. x2 + 4x – 21
  145. x2 - 8x + 12
  146. x2 + 13x – 14
  147. 2x2 - 14x + 24
  148. 3x2 + 3x – 6
  149. 3x2 - 3x – 6
  150. x6 – 6x3 + 9
  151. x4 – 18x2 + 81
  152. 0.25y2 - 0.01 x2
  153. 9x2 + 2x +
  154. 2x6 + 2 – 4x3
  155. x4 – 2x3 - x + 2
  156. 3(x – y) – x(y – x)
  157. y3 – y
  158. 81x4 – 144
  159. (2x + 1)2 - (x + 1)2
  160. 5z3 – 10z2 + 5
  161. 121a2 - (2a + 3 )2
  162. x2 + 4y2 - 1 – 4xy
  163. z3 - 6z2 - z + 6
  164. –z2 + 2z – 1
  165. 8a3 - 8a2 + 2a
  166. a3 - 3a2 - a + 3
  167. x2 - 12x – y2 + 36
  168. xy2 - xz2
  169. x4y2 - x2y4
  170. x2y – 6xy + 9y
  171. 3x3y – 3xy3
  172. x8 – y8
  173. x2 - x + 4
  174. ab4xy4 – ab2xp2
  175. 2a2 - 12a + 18
  176. x6 – x2
  177. a4 – 2a2 + 1
  178. 5x3 - 15xy2
  179. a4 – 6a2 + 9
  180. 49x3 - x
  181. 9x2y2 - 16
  182. x2 - 4x – 5
  183. x2 + 10x + 16
  184. x2 - 30x + 225
  185. x2 - 4x – 32
  186. x2 + 5x – 14
  187. x2 + 20x + 19
  188. x2 - 4x – 12
  189. x3 + 9x2 + 11x – 21
  190. x3 + 2x2 - 5x – 6
  191. 4x2 - 2x + 1
  192. 4a2b3 - b
  193. 75a2 + 30a + 3
  194. (x + 3)2 - 16
  195. 4x2(x + 3) – (3 + x)
  196. x3y2 - 5x5
  197. 9(x2 - 3) - y4(x2 - 3)
  198. 3x(y2 - 2y) + 3x
  199. x4 – 2x2 + 1
  200. (3x2 +12x)2 + 9(4x2 + 11x)
  201. 3x4(x2 - 9 ) – (x + 3)
  202. 2a(x + y) – 3b( -x – y)
  203. x(2a – b) + y(b – 2a)
  204. a(x – y) – (y – x)
  205. (4a – 2b)(2x – 3y) +(3y – 2x)(b – 2a)
  206. a2(x – 1)(a + b) + a3(1 – x)
  207. (x – 2y)(a – b) – (b – a)(2x + y)
  208. 5x2- 5
  209. a4x4 - a4
  210. a4b2x5 – a2x
  211. 9x5y6 – xy
  212. 12(x + 2)3 - 3(x + 2)
  213. (a – b) – (a – b)x4
  214. –3x9 + 3x5
  215. 2x3 - 7x
  216. 16a4b2 - 24a2b3 + 9b4
  217. x2(a2 - 4) – (a2 - 4)
  218. (a + 1)4 – (a + 1)2
  219. 125x3(x– y)2 - 45x(3x + 2y)2
  220. (a2 + b2 - c2)2 - (a2 - b2 + c2)2
  221. 2x3 + 5x2 - 4x – 3
  222. 2x3 + 3x2 - 23x – 12
  223. x4 + 5x3 - 15x2 - 45x + 54
  224. 24x – 4 + 5x4 – 6x3 - 19x2
  225. x2 - 8x + 12
  226. x2 - 14x + 13
  227. x2 - 22x + 85
  228. x4 + 2x3 - 16x2 - 2x + 15
  229. x4 – 7x3 + 17x2 - 17x + 6
  230. x5 + 3x4 – 16x – 48







  

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