Ontbinden in factoren (1)

Hoofdmenu Eentje per keer 

Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(9a^{10}+24a^5q+16q^2\)
  2. \(144p^2+120p+25\)
  3. \(196b^2-a^{8}\)
  4. \(16q^2+56q+49\)
  5. \(121p^{4}-220p^2q+100q^2\)
  6. \(169q^{4}-49\)
  7. \(49p^{6}+154p^3x+121x^2\)
  8. \(a^2-16\)
  9. \(64s^2+144s+81\)
  10. \(169q^2-156q+36\)
  11. \(25p^2-36b^{12}\)
  12. \(q^2-121\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(9a^{10}+24a^5q+16q^2=(3a^5+4q)^2\)
  2. \(144p^2+120p+25=(12p+5)^2\)
  3. \(196b^2-a^{8}=(14b-a^4)(14b+a^4)\)
  4. \(16q^2+56q+49=(4q+7)^2\)
  5. \(121p^{4}-220p^2q+100q^2=(11p^2-10q)^2\)
  6. \(169q^{4}-49=(13q^2+7)(13q^2-7)\)
  7. \(49p^{6}+154p^3x+121x^2=(7p^3+11x)^2\)
  8. \(a^2-16=(a+4)(a-4)\)
  9. \(64s^2+144s+81=(8s+9)^2\)
  10. \(169q^2-156q+36=(13q-6)^2\)
  11. \(25p^2-36b^{12}=(5p-6b^6)(5p+6b^6)\)
  12. \(q^2-121=(q-11)(q+11)\)
Oefeningengenerator wiskundeoefeningen.be 2026-02-11 15:09:37
Een site van Busleyden Atheneum Mechelen