Ontbinden in factoren (1)

Hoofdmenu Eentje per keer 

Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(-64q^2+25\)
  2. \(49b^{8}+70b^4x+25x^2\)
  3. \(225a^{10}-60a^5y+4y^2\)
  4. \(225a^2+120a+16\)
  5. \(64q^2+16q+1\)
  6. \(b^2-18b+81\)
  7. \(25p^{10}+10p^5+1\)
  8. \(256y^2+160y+25\)
  9. \(q^2+24q+144\)
  10. \(s^2-169\)
  11. \(49y^{8}+14y^4+1\)
  12. \(s^2+22s+121\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(-64q^2+25=(5-8q)(5+8q)\)
  2. \(49b^{8}+70b^4x+25x^2=(7b^4+5x)^2\)
  3. \(225a^{10}-60a^5y+4y^2=(15a^5-2y)^2\)
  4. \(225a^2+120a+16=(15a+4)^2\)
  5. \(64q^2+16q+1=(8q+1)^2\)
  6. \(b^2-18b+81=(b-9)^2\)
  7. \(25p^{10}+10p^5+1=(5p^5+1)^2\)
  8. \(256y^2+160y+25=(16y+5)^2\)
  9. \(q^2+24q+144=(q+12)^2\)
  10. \(s^2-169=(s+13)(s-13)\)
  11. \(49y^{8}+14y^4+1=(7y^4+1)^2\)
  12. \(s^2+22s+121=(s+11)^2\)
Oefeningengenerator wiskundeoefeningen.be 2026-08-09 00:17:55
Een site van Busleyden Atheneum Mechelen