Ontbinden in factoren (1)

Hoofdmenu Eentje per keer 

Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(100a^{6}-169p^2\)
  2. \(9p^{6}-4q^2\)
  3. \(16x^{4}-25\)
  4. \(144a^{16}-169b^2\)
  5. \(-4b^2+1\)
  6. \(49q^2-64p^{10}\)
  7. \(36p^2-132p+121\)
  8. \(81-196y^{16}\)
  9. \(q^2-24q+144\)
  10. \(225p^{4}-330p^2y+121y^2\)
  11. \(4q^{8}+4q^4y+1y^2\)
  12. \(121x^{10}+66x^5+9\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(100a^{6}-169p^2=(10a^3+13p)(10a^3-13p)\)
  2. \(9p^{6}-4q^2=(3p^3+2q)(3p^3-2q)\)
  3. \(16x^{4}-25=(4x^2+5)(4x^2-5)\)
  4. \(144a^{16}-169b^2=(12a^8+13b)(12a^8-13b)\)
  5. \(-4b^2+1=(1-2b)(1+2b)\)
  6. \(49q^2-64p^{10}=(7q-8p^5)(7q+8p^5)\)
  7. \(36p^2-132p+121=(6p-11)^2\)
  8. \(81-196y^{16}=(9-14y^8)(9+14y^8)\)
  9. \(q^2-24q+144=(q-12)^2\)
  10. \(225p^{4}-330p^2y+121y^2=(15p^2-11y)^2\)
  11. \(4q^{8}+4q^4y+1y^2=(2q^4+y)^2\)
  12. \(121x^{10}+66x^5+9=(11x^5+3)^2\)
Oefeningengenerator wiskundeoefeningen.be 2026-05-27 19:05:01
Een site van Busleyden Atheneum Mechelen