Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(-64p^2+81\)
  2. \(x^2-14x+49\)
  3. \(64s^{4}+16s^2+1\)
  4. \(x^2-20x+100\)
  5. \(64p^2-112p+49\)
  6. \(169b^{14}-16q^2\)
  7. \(-144p^2+169\)
  8. \(b^2+24b+144\)
  9. \(s^2-81\)
  10. \(49p^{4}-224p^2+256\)
  11. \(25y^2-36a^{10}\)
  12. \(121q^{8}-169\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(-64p^2+81=(9-8p)(9+8p)\)
  2. \(x^2-14x+49=(x-7)^2\)
  3. \(64s^{4}+16s^2+1=(8s^2+1)^2\)
  4. \(x^2-20x+100=(x-10)^2\)
  5. \(64p^2-112p+49=(8p-7)^2\)
  6. \(169b^{14}-16q^2=(13b^7+4q)(13b^7-4q)\)
  7. \(-144p^2+169=(13-12p)(13+12p)\)
  8. \(b^2+24b+144=(b+12)^2\)
  9. \(s^2-81=(s+9)(s-9)\)
  10. \(49p^{4}-224p^2+256=(7p^2-16)^2\)
  11. \(25y^2-36a^{10}=(5y-6a^5)(5y+6a^5)\)
  12. \(121q^{8}-169=(11q^4+13)(11q^4-13)\)
Oefeningengenerator wiskundeoefeningen.be 2026-08-14 17:14:18
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