Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(q^2+18q+81\)
  2. \(64a^{8}+16a^4x+1x^2\)
  3. \(256q^{4}+32q^2+1\)
  4. \(100q^2+140q+49\)
  5. \(121-144q^{6}\)
  6. \(49y^2-4a^{8}\)
  7. \(256q^{4}+160q^2y+25y^2\)
  8. \(25x^{10}-140x^5y+196y^2\)
  9. \(196-25x^{4}\)
  10. \(s^2-100\)
  11. \(25y^2-49s^{12}\)
  12. \(49s^2-169a^{10}\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(q^2+18q+81=(q+9)^2\)
  2. \(64a^{8}+16a^4x+1x^2=(8a^4+x)^2\)
  3. \(256q^{4}+32q^2+1=(16q^2+1)^2\)
  4. \(100q^2+140q+49=(10q+7)^2\)
  5. \(121-144q^{6}=(11-12q^3)(11+12q^3)\)
  6. \(49y^2-4a^{8}=(7y-2a^4)(7y+2a^4)\)
  7. \(256q^{4}+160q^2y+25y^2=(16q^2+5y)^2\)
  8. \(25x^{10}-140x^5y+196y^2=(5x^5-14y)^2\)
  9. \(196-25x^{4}=(14-5x^2)(14+5x^2)\)
  10. \(s^2-100=(s+10)(s-10)\)
  11. \(25y^2-49s^{12}=(5y-7s^6)(5y+7s^6)\)
  12. \(49s^2-169a^{10}=(7s-13a^5)(7s+13a^5)\)
Oefeningengenerator wiskundeoefeningen.be 2026-02-23 04:01:32
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