Ontbinden in factoren (1)

Hoofdmenu Eentje per keer 

Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(-36b^2+1\)
  2. \(p^2-36\)
  3. \(81a^{12}-4\)
  4. \(a^2-121\)
  5. \(49s^{10}+14s^5y+1y^2\)
  6. \(49-81s^{8}\)
  7. \(64s^{4}+80s^2y+25y^2\)
  8. \(169q^{10}+156q^5y+36y^2\)
  9. \(36p^{8}+60p^4+25\)
  10. \(225q^2-196a^{6}\)
  11. \(49y^{4}+28y^2+4\)
  12. \(25s^2-16a^{12}\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(-36b^2+1=(1-6b)(1+6b)\)
  2. \(p^2-36=(p+6)(p-6)\)
  3. \(81a^{12}-4=(9a^6+2)(9a^6-2)\)
  4. \(a^2-121=(a+11)(a-11)\)
  5. \(49s^{10}+14s^5y+1y^2=(7s^5+y)^2\)
  6. \(49-81s^{8}=(7-9s^4)(7+9s^4)\)
  7. \(64s^{4}+80s^2y+25y^2=(8s^2+5y)^2\)
  8. \(169q^{10}+156q^5y+36y^2=(13q^5+6y)^2\)
  9. \(36p^{8}+60p^4+25=(6p^4+5)^2\)
  10. \(225q^2-196a^{6}=(15q-14a^3)(15q+14a^3)\)
  11. \(49y^{4}+28y^2+4=(7y^2+2)^2\)
  12. \(25s^2-16a^{12}=(5s-4a^6)(5s+4a^6)\)
Oefeningengenerator wiskundeoefeningen.be 2026-06-21 03:37:14
Een site van Busleyden Atheneum Mechelen