Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(196b^{8}+308b^4+121\)
  2. \(25y^{6}-40y^3+16\)
  3. \(81-196x^{14}\)
  4. \(4-25s^{12}\)
  5. \(64a^2+16a+1\)
  6. \(196q^2+308q+121\)
  7. \(121x^2-196a^{12}\)
  8. \(64a^{10}+16a^5y+1y^2\)
  9. \(121-36y^{12}\)
  10. \(1-9y^{8}\)
  11. \(169y^2-16a^{14}\)
  12. \(64s^{6}-169x^2\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(196b^{8}+308b^4+121=(14b^4+11)^2\)
  2. \(25y^{6}-40y^3+16=(5y^3-4)^2\)
  3. \(81-196x^{14}=(9-14x^7)(9+14x^7)\)
  4. \(4-25s^{12}=(2-5s^6)(2+5s^6)\)
  5. \(64a^2+16a+1=(8a+1)^2\)
  6. \(196q^2+308q+121=(14q+11)^2\)
  7. \(121x^2-196a^{12}=(11x-14a^6)(11x+14a^6)\)
  8. \(64a^{10}+16a^5y+1y^2=(8a^5+y)^2\)
  9. \(121-36y^{12}=(11-6y^6)(11+6y^6)\)
  10. \(1-9y^{8}=(1-3y^4)(1+3y^4)\)
  11. \(169y^2-16a^{14}=(13y-4a^7)(13y+4a^7)\)
  12. \(64s^{6}-169x^2=(8s^3+13x)(8s^3-13x)\)
Oefeningengenerator wiskundeoefeningen.be 2026-04-13 18:41:37
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