Ontbinden in factoren (1)

Hoofdmenu Eentje per keer 

Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(144p^2-264p+121\)
  2. \(169q^{6}-100y^2\)
  3. \(s^2-8s+16\)
  4. \(100q^{14}-1\)
  5. \(225p^{4}-49y^2\)
  6. \(256q^2+160q+25\)
  7. \(196x^{8}-364x^4+169\)
  8. \(y^2-169\)
  9. \(-4y^2+169\)
  10. \(169b^2-156b+36\)
  11. \(64a^{4}-112a^2x+49x^2\)
  12. \(1-121q^{14}\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(144p^2-264p+121=(12p-11)^2\)
  2. \(169q^{6}-100y^2=(13q^3+10y)(13q^3-10y)\)
  3. \(s^2-8s+16=(s-4)^2\)
  4. \(100q^{14}-1=(10q^7+1)(10q^7-1)\)
  5. \(225p^{4}-49y^2=(15p^2+7y)(15p^2-7y)\)
  6. \(256q^2+160q+25=(16q+5)^2\)
  7. \(196x^{8}-364x^4+169=(14x^4-13)^2\)
  8. \(y^2-169=(y-13)(y+13)\)
  9. \(-4y^2+169=(13-2y)(13+2y)\)
  10. \(169b^2-156b+36=(13b-6)^2\)
  11. \(64a^{4}-112a^2x+49x^2=(8a^2-7x)^2\)
  12. \(1-121q^{14}=(1-11q^7)(1+11q^7)\)
Oefeningengenerator wiskundeoefeningen.be 2026-05-02 00:37:30
Een site van Busleyden Atheneum Mechelen