Ontbinden in factoren (1)

Hoofdmenu Eentje per keer 

Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(a^2+12a+36\)
  2. \(121b^2-144\)
  3. \(4y^2-225p^{6}\)
  4. \(64a^{10}-80a^5y+25y^2\)
  5. \(121s^{10}-220s^5+100\)
  6. \(169s^{4}+286s^2x+121x^2\)
  7. \(y^2-2y+1\)
  8. \(256b^{6}-225\)
  9. \(100x^{10}-1\)
  10. \(36p^{8}+12p^4x+1x^2\)
  11. \(100y^2+60y+9\)
  12. \(225s^{8}+390s^4+169\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(a^2+12a+36=(a+6)^2\)
  2. \(121b^2-144=(11b+12)(11b-12)\)
  3. \(4y^2-225p^{6}=(2y-15p^3)(2y+15p^3)\)
  4. \(64a^{10}-80a^5y+25y^2=(8a^5-5y)^2\)
  5. \(121s^{10}-220s^5+100=(11s^5-10)^2\)
  6. \(169s^{4}+286s^2x+121x^2=(13s^2+11x)^2\)
  7. \(y^2-2y+1=(y-1)^2\)
  8. \(256b^{6}-225=(16b^3+15)(16b^3-15)\)
  9. \(100x^{10}-1=(10x^5+1)(10x^5-1)\)
  10. \(36p^{8}+12p^4x+1x^2=(6p^4+x)^2\)
  11. \(100y^2+60y+9=(10y+3)^2\)
  12. \(225s^{8}+390s^4+169=(15s^4+13)^2\)
Oefeningengenerator wiskundeoefeningen.be 2026-07-25 16:29:34
Een site van Busleyden Atheneum Mechelen