Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(64s^{8}-225\)
  2. \(144-49s^{4}\)
  3. \(q^2-8q+16\)
  4. \(225q^2-420q+196\)
  5. \(121x^2-25\)
  6. \(64p^{6}+16p^3+1\)
  7. \(25s^{10}-120s^5+144\)
  8. \(25y^{4}+120y^2+144\)
  9. \(q^2-1\)
  10. \(196a^{6}-121x^2\)
  11. \(-81a^2+25\)
  12. \(4x^{4}+20x^2+25\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(64s^{8}-225=(8s^4+15)(8s^4-15)\)
  2. \(144-49s^{4}=(12-7s^2)(12+7s^2)\)
  3. \(q^2-8q+16=(q-4)^2\)
  4. \(225q^2-420q+196=(15q-14)^2\)
  5. \(121x^2-25=(11x+5)(11x-5)\)
  6. \(64p^{6}+16p^3+1=(8p^3+1)^2\)
  7. \(25s^{10}-120s^5+144=(5s^5-12)^2\)
  8. \(25y^{4}+120y^2+144=(5y^2+12)^2\)
  9. \(q^2-1=(q+1)(q-1)\)
  10. \(196a^{6}-121x^2=(14a^3+11x)(14a^3-11x)\)
  11. \(-81a^2+25=(5-9a)(5+9a)\)
  12. \(4x^{4}+20x^2+25=(2x^2+5)^2\)
Oefeningengenerator wiskundeoefeningen.be 2026-08-30 18:54:52
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