Ontbinden in factoren (1)

Hoofdmenu Eentje per keer 

Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(-64s^2+225\)
  2. \(256a^2-288a+81\)
  3. \(9-121a^{6}\)
  4. \(16p^2-25\)
  5. \(16q^2-9\)
  6. \(25x^{6}+10x^3+1\)
  7. \(16p^2-225\)
  8. \(81-4p^{8}\)
  9. \(225x^{4}+390x^2+169\)
  10. \(169s^2-16p^{14}\)
  11. \(49a^{4}-140a^2+100\)
  12. \(169s^2-81b^{14}\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(-64s^2+225=(15-8s)(15+8s)\)
  2. \(256a^2-288a+81=(16a-9)^2\)
  3. \(9-121a^{6}=(3-11a^3)(3+11a^3)\)
  4. \(16p^2-25=(4p+5)(4p-5)\)
  5. \(16q^2-9=(4q+3)(4q-3)\)
  6. \(25x^{6}+10x^3+1=(5x^3+1)^2\)
  7. \(16p^2-225=(4p+15)(4p-15)\)
  8. \(81-4p^{8}=(9-2p^4)(9+2p^4)\)
  9. \(225x^{4}+390x^2+169=(15x^2+13)^2\)
  10. \(169s^2-16p^{14}=(13s-4p^7)(13s+4p^7)\)
  11. \(49a^{4}-140a^2+100=(7a^2-10)^2\)
  12. \(169s^2-81b^{14}=(13s-9b^7)(13s+9b^7)\)
Oefeningengenerator wiskundeoefeningen.be 2026-09-22 07:15:04
Een site van Busleyden Atheneum Mechelen