Ivan Shishkin, Rye (1878)

Problems/General algebraExercise

Exercice sur les identités remarquables

by 2doupi·
5
Difficulty scaleÉchelle de difficulté

This score reflects both the level of the required concepts and the difficulty of the solution.Ce score tient compte à la fois du niveau des notions nécessaires et de la difficulté de la résolution.

  1. 1–10First steps / middle schoolPremiers pas / collège
  2. 11–25Beginner / high schoolDébutant / lycée
  3. 26–50Intermediate / undergraduateIntermédiaire / licence
  4. 51–70Advanced / graduateAvancé / master
  5. 71–90Expert / specializedExpert / spécialisé
  6. 91–100Research levelNiveau recherche
These levels are approximate guides.Ces niveaux sont des repères approximatifs.
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ReviewedReviewed by Ancient Tree
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Français
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En utilisant les identités remarquables développer les expressions suivantes :

  1. (5x−3)(5x+3)(5x-3)(5x+3)
  2. (2x+2)2(2x+2)^{2}
  3. (5x−2y)2(5x-2y)^{2}
  4. 3(x+1)2+(5x−1)(5x+1)3(x+1)^{2}+(5x-1)(5x+1)
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Solution by 2doupi

Discussions0 useful votes
  1. On utilise (a−b)(a+b)=a2−b2(a-b)(a+b)=a^{2}-b^{2}, 25x2−925x^{2}-9
  2. 4x2+8x+44x^{2}+8x+4
  3. 25x2−10xy+4y225x^{2}-10xy+4y^{2}
  4. 3x2+6x+3+25x2−1=28x2+6x+23x^{2}+6x+3 +25x^{2}-1=28x^{2}+6x+2
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