Ontbinden in factoren (1)

Hoofdmenu Eentje per keer 

Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(121-169x^{16}\)
  2. \(4b^{4}+52b^2y+169y^2\)
  3. \(25b^{10}-120b^5+144\)
  4. \(256q^{16}-25y^2\)
  5. \(49p^{8}-126p^4+81\)
  6. \(a^2-30a+225\)
  7. \(144b^{8}-264b^4y+121y^2\)
  8. \(q^2-9\)
  9. \(p^2-225\)
  10. \(169b^{10}-225\)
  11. \(-36y^2+25\)
  12. \(256x^{4}-480x^2+225\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(121-169x^{16}=(11-13x^8)(11+13x^8)\)
  2. \(4b^{4}+52b^2y+169y^2=(2b^2+13y)^2\)
  3. \(25b^{10}-120b^5+144=(5b^5-12)^2\)
  4. \(256q^{16}-25y^2=(16q^8+5y)(16q^8-5y)\)
  5. \(49p^{8}-126p^4+81=(7p^4-9)^2\)
  6. \(a^2-30a+225=(a-15)^2\)
  7. \(144b^{8}-264b^4y+121y^2=(12b^4-11y)^2\)
  8. \(q^2-9=(q+3)(q-3)\)
  9. \(p^2-225=(p+15)(p-15)\)
  10. \(169b^{10}-225=(13b^5+15)(13b^5-15)\)
  11. \(-36y^2+25=(5-6y)(5+6y)\)
  12. \(256x^{4}-480x^2+225=(16x^2-15)^2\)
Oefeningengenerator wiskundeoefeningen.be 2026-09-25 13:19:35
Een site van Busleyden Atheneum Mechelen