Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(25p^{4}+90p^2x+81x^2\)
  2. \(9a^{8}-84a^4+196\)
  3. \(25p^{6}+80p^3+64\)
  4. \(-49a^2+1\)
  5. \(4p^{10}+52p^5y+169y^2\)
  6. \(169x^2-256b^{6}\)
  7. \(-196s^2+9\)
  8. \(36y^{10}+12y^5+1\)
  9. \(121b^{6}-16s^2\)
  10. \(121q^{8}-176q^4y+64y^2\)
  11. \(q^2-25\)
  12. \(256p^{4}-96p^2q+9q^2\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(25p^{4}+90p^2x+81x^2=(5p^2+9x)^2\)
  2. \(9a^{8}-84a^4+196=(3a^4-14)^2\)
  3. \(25p^{6}+80p^3+64=(5p^3+8)^2\)
  4. \(-49a^2+1=(1-7a)(1+7a)\)
  5. \(4p^{10}+52p^5y+169y^2=(2p^5+13y)^2\)
  6. \(169x^2-256b^{6}=(13x-16b^3)(13x+16b^3)\)
  7. \(-196s^2+9=(3-14s)(3+14s)\)
  8. \(36y^{10}+12y^5+1=(6y^5+1)^2\)
  9. \(121b^{6}-16s^2=(11b^3+4s)(11b^3-4s)\)
  10. \(121q^{8}-176q^4y+64y^2=(11q^4-8y)^2\)
  11. \(q^2-25=(q+5)(q-5)\)
  12. \(256p^{4}-96p^2q+9q^2=(16p^2-3q)^2\)
Oefeningengenerator wiskundeoefeningen.be 2026-07-29 10:13:50
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