Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(196b^2-308b+121\)
  2. \(p^2-14p+49\)
  3. \(25-196b^{16}\)
  4. \(1-144y^{4}\)
  5. \(49y^2-42y+9\)
  6. \(x^2+4x+4\)
  7. \(64s^{10}+176s^5+121\)
  8. \(169p^{10}+364p^5+196\)
  9. \(9p^{6}-196y^2\)
  10. \(144a^{8}-264a^4y+121y^2\)
  11. \(100p^{4}-260p^2y+169y^2\)
  12. \(225-64s^{16}\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(196b^2-308b+121=(14b-11)^2\)
  2. \(p^2-14p+49=(p-7)^2\)
  3. \(25-196b^{16}=(5-14b^8)(5+14b^8)\)
  4. \(1-144y^{4}=(1-12y^2)(1+12y^2)\)
  5. \(49y^2-42y+9=(7y-3)^2\)
  6. \(x^2+4x+4=(x+2)^2\)
  7. \(64s^{10}+176s^5+121=(8s^5+11)^2\)
  8. \(169p^{10}+364p^5+196=(13p^5+14)^2\)
  9. \(9p^{6}-196y^2=(3p^3+14y)(3p^3-14y)\)
  10. \(144a^{8}-264a^4y+121y^2=(12a^4-11y)^2\)
  11. \(100p^{4}-260p^2y+169y^2=(10p^2-13y)^2\)
  12. \(225-64s^{16}=(15-8s^8)(15+8s^8)\)
Oefeningengenerator wiskundeoefeningen.be 2026-07-22 00:36:40
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