Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(-121q^2+64\)
  2. \(x^2+6x+9\)
  3. \(s^2-6s+9\)
  4. \(225x^{8}-330x^4+121\)
  5. \(196s^{8}+28s^4y+1y^2\)
  6. \(169p^{8}+26p^4+1\)
  7. \(121s^{4}+22s^2+1\)
  8. \(49-16p^{4}\)
  9. \(25x^{6}-120x^3+144\)
  10. \(-144p^2+1\)
  11. \(36x^{16}-25\)
  12. \(16a^{4}-120a^2b+225b^2\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(-121q^2+64=(8-11q)(8+11q)\)
  2. \(x^2+6x+9=(x+3)^2\)
  3. \(s^2-6s+9=(s-3)^2\)
  4. \(225x^{8}-330x^4+121=(15x^4-11)^2\)
  5. \(196s^{8}+28s^4y+1y^2=(14s^4+y)^2\)
  6. \(169p^{8}+26p^4+1=(13p^4+1)^2\)
  7. \(121s^{4}+22s^2+1=(11s^2+1)^2\)
  8. \(49-16p^{4}=(7-4p^2)(7+4p^2)\)
  9. \(25x^{6}-120x^3+144=(5x^3-12)^2\)
  10. \(-144p^2+1=(1-12p)(1+12p)\)
  11. \(36x^{16}-25=(6x^8+5)(6x^8-5)\)
  12. \(16a^{4}-120a^2b+225b^2=(4a^2-15b)^2\)
Oefeningengenerator wiskundeoefeningen.be 2026-07-02 23:58:02
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