Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(-49b^2+64\)
  2. \(a^2+2a+1\)
  3. \(25x^2-40x+16\)
  4. \(36b^2-1\)
  5. \(64y^2-112y+49\)
  6. \(121-36x^{16}\)
  7. \(100s^2+20s+1\)
  8. \(121-4p^{14}\)
  9. \(49s^2-140s+100\)
  10. \(100y^2-60y+9\)
  11. \(-64p^2+9\)
  12. \(a^2-49\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(-49b^2+64=(8-7b)(8+7b)\)
  2. \(a^2+2a+1=(a+1)^2\)
  3. \(25x^2-40x+16=(5x-4)^2\)
  4. \(36b^2-1=(6b+1)(6b-1)\)
  5. \(64y^2-112y+49=(8y-7)^2\)
  6. \(121-36x^{16}=(11-6x^8)(11+6x^8)\)
  7. \(100s^2+20s+1=(10s+1)^2\)
  8. \(121-4p^{14}=(11-2p^7)(11+2p^7)\)
  9. \(49s^2-140s+100=(7s-10)^2\)
  10. \(100y^2-60y+9=(10y-3)^2\)
  11. \(-64p^2+9=(3-8p)(3+8p)\)
  12. \(a^2-49=(a+7)(a-7)\)
Oefeningengenerator wiskundeoefeningen.be 2026-06-25 21:22:26
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