Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(a^2-22a+121\)
  2. \(256s^{4}+224s^2+49\)
  3. \(49b^2-126b+81\)
  4. \(256p^{4}-160p^2q+25q^2\)
  5. \(b^2+10b+25\)
  6. \(196x^2-9\)
  7. \(49p^{6}-182p^3+169\)
  8. \(225x^{10}+210x^5y+49y^2\)
  9. \(81-49s^{6}\)
  10. \(169p^2-144\)
  11. \(49a^2-224a+256\)
  12. \(81b^{4}-72b^2s+16s^2\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(a^2-22a+121=(a-11)^2\)
  2. \(256s^{4}+224s^2+49=(16s^2+7)^2\)
  3. \(49b^2-126b+81=(7b-9)^2\)
  4. \(256p^{4}-160p^2q+25q^2=(16p^2-5q)^2\)
  5. \(b^2+10b+25=(b+5)^2\)
  6. \(196x^2-9=(14x+3)(14x-3)\)
  7. \(49p^{6}-182p^3+169=(7p^3-13)^2\)
  8. \(225x^{10}+210x^5y+49y^2=(15x^5+7y)^2\)
  9. \(81-49s^{6}=(9-7s^3)(9+7s^3)\)
  10. \(169p^2-144=(13p+12)(13p-12)\)
  11. \(49a^2-224a+256=(7a-16)^2\)
  12. \(81b^{4}-72b^2s+16s^2=(9b^2-4s)^2\)
Oefeningengenerator wiskundeoefeningen.be 2026-09-21 14:35:41
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