Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(121x^2-s^{12}\)
  2. \(9q^{8}-16x^2\)
  3. \(225y^{14}-16\)
  4. \(100a^2-180a+81\)
  5. \(q^2+20q+100\)
  6. \(25y^{10}+90y^5+81\)
  7. \(y^2-24y+144\)
  8. \(81-4x^{8}\)
  9. \(-256s^2+1\)
  10. \(q^2-9\)
  11. \(121p^{16}-49s^2\)
  12. \(196y^{10}-225\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(121x^2-s^{12}=(11x-s^6)(11x+s^6)\)
  2. \(9q^{8}-16x^2=(3q^4+4x)(3q^4-4x)\)
  3. \(225y^{14}-16=(15y^7+4)(15y^7-4)\)
  4. \(100a^2-180a+81=(10a-9)^2\)
  5. \(q^2+20q+100=(q+10)^2\)
  6. \(25y^{10}+90y^5+81=(5y^5+9)^2\)
  7. \(y^2-24y+144=(y-12)^2\)
  8. \(81-4x^{8}=(9-2x^4)(9+2x^4)\)
  9. \(-256s^2+1=(1-16s)(1+16s)\)
  10. \(q^2-9=(q+3)(q-3)\)
  11. \(121p^{16}-49s^2=(11p^8+7s)(11p^8-7s)\)
  12. \(196y^{10}-225=(14y^5+15)(14y^5-15)\)
Oefeningengenerator wiskundeoefeningen.be 2026-06-14 15:04:34
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