Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(-4a^2+81\)
  2. \(1-9q^{14}\)
  3. \(169x^{10}+260x^5y+100y^2\)
  4. \(100-121p^{8}\)
  5. \(s^2-36\)
  6. \(81-25x^{14}\)
  7. \(196s^{10}+28s^5+1\)
  8. \(169x^2-416x+256\)
  9. \(169p^2-121\)
  10. \(36a^{12}-25x^2\)
  11. \(-4s^2+49\)
  12. \(169s^{8}-25\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(-4a^2+81=(9-2a)(9+2a)\)
  2. \(1-9q^{14}=(1-3q^7)(1+3q^7)\)
  3. \(169x^{10}+260x^5y+100y^2=(13x^5+10y)^2\)
  4. \(100-121p^{8}=(10-11p^4)(10+11p^4)\)
  5. \(s^2-36=(s-6)(s+6)\)
  6. \(81-25x^{14}=(9-5x^7)(9+5x^7)\)
  7. \(196s^{10}+28s^5+1=(14s^5+1)^2\)
  8. \(169x^2-416x+256=(13x-16)^2\)
  9. \(169p^2-121=(13p+11)(13p-11)\)
  10. \(36a^{12}-25x^2=(6a^6+5x)(6a^6-5x)\)
  11. \(-4s^2+49=(7-2s)(7+2s)\)
  12. \(169s^{8}-25=(13s^4+5)(13s^4-5)\)
Oefeningengenerator wiskundeoefeningen.be 2026-07-08 08:42:40
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