Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(49a^2-1\)
  2. \(144p^{16}-49s^2\)
  3. \(196y^2+420y+225\)
  4. \(4s^2-9q^{14}\)
  5. \(-196q^2+169\)
  6. \(100b^2+260b+169\)
  7. \(-49s^2+81\)
  8. \(b^2-2b+1\)
  9. \(64y^{6}+240y^3+225\)
  10. \(100q^{10}-180q^5x+81x^2\)
  11. \(s^2-30s+225\)
  12. \(169-196x^{14}\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(49a^2-1=(7a+1)(7a-1)\)
  2. \(144p^{16}-49s^2=(12p^8+7s)(12p^8-7s)\)
  3. \(196y^2+420y+225=(14y+15)^2\)
  4. \(4s^2-9q^{14}=(2s-3q^7)(2s+3q^7)\)
  5. \(-196q^2+169=(13-14q)(13+14q)\)
  6. \(100b^2+260b+169=(10b+13)^2\)
  7. \(-49s^2+81=(9-7s)(9+7s)\)
  8. \(b^2-2b+1=(b-1)^2\)
  9. \(64y^{6}+240y^3+225=(8y^3+15)^2\)
  10. \(100q^{10}-180q^5x+81x^2=(10q^5-9x)^2\)
  11. \(s^2-30s+225=(s-15)^2\)
  12. \(169-196x^{14}=(13-14x^7)(13+14x^7)\)
Oefeningengenerator wiskundeoefeningen.be 2026-05-09 10:15:00
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