Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(4b^{8}+4b^4+1\)
  2. \(121p^2-169\)
  3. \(100p^{14}-81y^2\)
  4. \(49y^2-144\)
  5. \(81y^2-234y+169\)
  6. \(81a^2-100\)
  7. \(y^2-196\)
  8. \(121a^{8}+264a^4+144\)
  9. \(4a^2+4a+1\)
  10. \(121p^2-256a^{12}\)
  11. \(196a^{8}+252a^4+81\)
  12. \(25b^2-40b+16\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(4b^{8}+4b^4+1=(2b^4+1)^2\)
  2. \(121p^2-169=(11p+13)(11p-13)\)
  3. \(100p^{14}-81y^2=(10p^7+9y)(10p^7-9y)\)
  4. \(49y^2-144=(7y+12)(7y-12)\)
  5. \(81y^2-234y+169=(9y-13)^2\)
  6. \(81a^2-100=(9a+10)(9a-10)\)
  7. \(y^2-196=(y+14)(y-14)\)
  8. \(121a^{8}+264a^4+144=(11a^4+12)^2\)
  9. \(4a^2+4a+1=(2a+1)^2\)
  10. \(121p^2-256a^{12}=(11p-16a^6)(11p+16a^6)\)
  11. \(196a^{8}+252a^4+81=(14a^4+9)^2\)
  12. \(25b^2-40b+16=(5b-4)^2\)
Oefeningengenerator wiskundeoefeningen.be 2025-11-24 14:01:57
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