Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(25a^{8}-140a^4+196\)
  2. \(144x^{8}-264x^4+121\)
  3. \(p^2-4\)
  4. \(144p^{8}+24p^4x+1x^2\)
  5. \(225a^2-60a+4\)
  6. \(25b^{10}-121\)
  7. \(b^2-121\)
  8. \(9s^2+6s+1\)
  9. \(64b^{8}-208b^4x+169x^2\)
  10. \(196b^2-364b+169\)
  11. \(49-16x^{14}\)
  12. \(p^2-49\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(25a^{8}-140a^4+196=(5a^4-14)^2\)
  2. \(144x^{8}-264x^4+121=(12x^4-11)^2\)
  3. \(p^2-4=(p+2)(p-2)\)
  4. \(144p^{8}+24p^4x+1x^2=(12p^4+x)^2\)
  5. \(225a^2-60a+4=(15a-2)^2\)
  6. \(25b^{10}-121=(5b^5+11)(5b^5-11)\)
  7. \(b^2-121=(b+11)(b-11)\)
  8. \(9s^2+6s+1=(3s+1)^2\)
  9. \(64b^{8}-208b^4x+169x^2=(8b^4-13x)^2\)
  10. \(196b^2-364b+169=(14b-13)^2\)
  11. \(49-16x^{14}=(7-4x^7)(7+4x^7)\)
  12. \(p^2-49=(p-7)(p+7)\)
Oefeningengenerator wiskundeoefeningen.be 2026-06-19 11:01:19
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