Ontbinden in factoren (1)

Hoofdmenu Eentje per keer 

Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(q^2-1\)
  2. \(9p^2-64a^{12}\)
  3. \(49p^{6}-42p^3y+9y^2\)
  4. \(256a^{8}+288a^4q+81q^2\)
  5. \(144p^{12}-1\)
  6. \(p^2-26p+169\)
  7. \(a^2+14a+49\)
  8. \(x^2-64\)
  9. \(s^2-144\)
  10. \(64y^2-80y+25\)
  11. \(144a^{4}-49b^2\)
  12. \(64-9b^{14}\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(q^2-1=(q+1)(q-1)\)
  2. \(9p^2-64a^{12}=(3p-8a^6)(3p+8a^6)\)
  3. \(49p^{6}-42p^3y+9y^2=(7p^3-3y)^2\)
  4. \(256a^{8}+288a^4q+81q^2=(16a^4+9q)^2\)
  5. \(144p^{12}-1=(12p^6+1)(12p^6-1)\)
  6. \(p^2-26p+169=(p-13)^2\)
  7. \(a^2+14a+49=(a+7)^2\)
  8. \(x^2-64=(x+8)(x-8)\)
  9. \(s^2-144=(s-12)(s+12)\)
  10. \(64y^2-80y+25=(8y-5)^2\)
  11. \(144a^{4}-49b^2=(12a^2+7b)(12a^2-7b)\)
  12. \(64-9b^{14}=(8-3b^7)(8+3b^7)\)
Oefeningengenerator wiskundeoefeningen.be 2026-08-06 09:34:28
Een site van Busleyden Atheneum Mechelen