Ontbinden in factoren (2)

Hoofdmenu Eentje per keer 

Zonder de gemeenschappelijke factor af. Ontbind verder in factoren indien mogelijk.

  1. \(3q^{5}-18q^{4}+27q^{3}\)
  2. \(-36b^{15}+60b^{10}-25b^{5}\)
  3. \(8x^{14}-2x^{2}\)
  4. \(p^{4}-16p^{2}\)
  5. \(8q^{5}-50q^{3}\)
  6. \(-2x^{5}+32x^{3}\)
  7. \(24s^{6}+24s^{5}+6s^{4}\)
  8. \(2p^{7}-2p^{5}\)
  9. \(27a^{4}-36a^{3}+12a^{2}\)
  10. \(-20p^{15}-20p^{10}q-5p^{5}q^2\)
  11. \(-16s^{4}-40s^{3}-25s^{2}\)
  12. \(12q^{12}+12q^{8}+3q^{4}\)

Zonder de gemeenschappelijke factor af. Ontbind verder in factoren indien mogelijk.

Verbetersleutel

  1. \(3q^{5}-18q^{4}+27q^{3}=3q^{3}(q^2-6q+9)=3q^{3}(q-3)^2\)
  2. \(-36b^{15}+60b^{10}-25b^{5}=-b^{5}(36b^{10}-60b^5+25)=-b^{5}(6b^5-5)^2\)
  3. \(8x^{14}-2x^{2}=2x^{2}(4x^{12}-1)=2x^{2}(2x^6+1)(2x^6-1)\)
  4. \(p^{4}-16p^{2}=p^{2}(p^2-16)=p^{2}(p+4)(p-4)\)
  5. \(8q^{5}-50q^{3}=2q^{3}(4q^{2}-25)=2q^{3}(2q+5)(2q-5)\)
  6. \(-2x^{5}+32x^{3}=-2x^{3}(x^2-16)=-2x^{3}(x-4)(x+4)\)
  7. \(24s^{6}+24s^{5}+6s^{4}=6s^{4}(4s^{2}+4s+1)=6s^{4}(2s+1)^2\)
  8. \(2p^{7}-2p^{5}=2p^{5}(p^2-1)=2p^{5}(p-1)(p+1)\)
  9. \(27a^{4}-36a^{3}+12a^{2}=3a^{2}(9a^{2}-12a+4)=3a^{2}(3a-2)^2\)
  10. \(-20p^{15}-20p^{10}q-5p^{5}q^2=-5p^{5}(4p^{10}+4p^5q+q^2)=-5p^{5}(2p^5+q)^2\)
  11. \(-16s^{4}-40s^{3}-25s^{2}=-s^{2}(16s^{2}+40s+25)=-s^{2}(4s+5)^2\)
  12. \(12q^{12}+12q^{8}+3q^{4}=3q^{4}(4q^{8}+4q^4+1)=3q^{4}(2q^4+1)^2\)
Oefeningengenerator wiskundeoefeningen.be 2026-04-24 17:32:23
Een site van Busleyden Atheneum Mechelen