Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(y^2-16\)
  2. \(81x^2-121b^{14}\)
  3. \(256b^{8}-81y^2\)
  4. \(s^2+28s+196\)
  5. \(121y^2+330y+225\)
  6. \(9p^{6}-66p^3y+121y^2\)
  7. \(225q^{6}+120q^3+16\)
  8. \(169-100p^{6}\)
  9. \(121x^{4}-81\)
  10. \(225y^2-49\)
  11. \(y^2-121\)
  12. \(81a^{12}-4s^2\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(y^2-16=(y-4)(y+4)\)
  2. \(81x^2-121b^{14}=(9x-11b^7)(9x+11b^7)\)
  3. \(256b^{8}-81y^2=(16b^4+9y)(16b^4-9y)\)
  4. \(s^2+28s+196=(s+14)^2\)
  5. \(121y^2+330y+225=(11y+15)^2\)
  6. \(9p^{6}-66p^3y+121y^2=(3p^3-11y)^2\)
  7. \(225q^{6}+120q^3+16=(15q^3+4)^2\)
  8. \(169-100p^{6}=(13-10p^3)(13+10p^3)\)
  9. \(121x^{4}-81=(11x^2+9)(11x^2-9)\)
  10. \(225y^2-49=(15y+7)(15y-7)\)
  11. \(y^2-121=(y-11)(y+11)\)
  12. \(81a^{12}-4s^2=(9a^6+2s)(9a^6-2s)\)
Oefeningengenerator wiskundeoefeningen.be 2026-06-25 01:31:39
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