Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(169p^2-196\)
  2. \(-16s^2+81\)
  3. \(25a^{12}-4p^2\)
  4. \(121b^{10}+176b^5p+64p^2\)
  5. \(16a^{6}-121q^2\)
  6. \(9q^{4}+78q^2+169\)
  7. \(81p^{8}-169s^2\)
  8. \(225b^{8}+60b^4+4\)
  9. \(9-256y^{4}\)
  10. \(b^2-10b+25\)
  11. \(100s^2-49\)
  12. \(q^2-22q+121\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(169p^2-196=(13p+14)(13p-14)\)
  2. \(-16s^2+81=(9-4s)(9+4s)\)
  3. \(25a^{12}-4p^2=(5a^6+2p)(5a^6-2p)\)
  4. \(121b^{10}+176b^5p+64p^2=(11b^5+8p)^2\)
  5. \(16a^{6}-121q^2=(4a^3+11q)(4a^3-11q)\)
  6. \(9q^{4}+78q^2+169=(3q^2+13)^2\)
  7. \(81p^{8}-169s^2=(9p^4+13s)(9p^4-13s)\)
  8. \(225b^{8}+60b^4+4=(15b^4+2)^2\)
  9. \(9-256y^{4}=(3-16y^2)(3+16y^2)\)
  10. \(b^2-10b+25=(b-5)^2\)
  11. \(100s^2-49=(10s+7)(10s-7)\)
  12. \(q^2-22q+121=(q-11)^2\)
Oefeningengenerator wiskundeoefeningen.be 2026-04-14 08:21:48
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