Ontbinden in factoren (1)

Hoofdmenu Eentje per keer 

Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(p^{6}-256s^2\)
  2. \(25a^2-169\)
  3. \(-9p^2+49\)
  4. \(4a^{8}+4a^4+1\)
  5. \(q^2+22q+121\)
  6. \(169a^{8}-156a^4y+36y^2\)
  7. \(81q^{16}-169y^2\)
  8. \(x^{10}-16y^2\)
  9. \(1-25b^{4}\)
  10. \(-121x^2+169\)
  11. \(-9s^2+121\)
  12. \(225s^{10}-60s^5+4\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(p^{6}-256s^2=(p^3+16s)(p^3-16s)\)
  2. \(25a^2-169=(5a+13)(5a-13)\)
  3. \(-9p^2+49=(7-3p)(7+3p)\)
  4. \(4a^{8}+4a^4+1=(2a^4+1)^2\)
  5. \(q^2+22q+121=(q+11)^2\)
  6. \(169a^{8}-156a^4y+36y^2=(13a^4-6y)^2\)
  7. \(81q^{16}-169y^2=(9q^8+13y)(9q^8-13y)\)
  8. \(x^{10}-16y^2=(x^5+4y)(x^5-4y)\)
  9. \(1-25b^{4}=(1-5b^2)(1+5b^2)\)
  10. \(-121x^2+169=(13-11x)(13+11x)\)
  11. \(-9s^2+121=(11-3s)(11+3s)\)
  12. \(225s^{10}-60s^5+4=(15s^5-2)^2\)
Oefeningengenerator wiskundeoefeningen.be 2026-07-04 19:11:16
Een site van Busleyden Atheneum Mechelen