Ontbinden in factoren (2)

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

  1. \(-75b^{15}+3b^{5}\)
  2. \(2s^{7}+28s^{6}+98s^{5}\)
  3. \(-12y^{15}+147y^{5}\)
  4. \(5s^{7}+40s^{6}+80s^{5}\)
  5. \(128x^{10}+32x^{7}+2x^{4}\)
  6. \(-5q^{7}+320q^{5}\)
  7. \(27q^{13}-147q^{5}\)
  8. \(-2q^{5}-4q^{4}-2q^{3}\)
  9. \(80p^{21}-5p^{5}\)
  10. \(147b^{10}-126b^{6}+27b^{2}\)
  11. \(96y^{14}-294y^{2}\)
  12. \(-125a^{6}-150a^{5}-45a^{4}\)

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

Verbetersleutel

  1. \(-75b^{15}+3b^{5}=-3b^{5}(25b^{10}-1)=-3b^{5}(5b^5+1)(5b^5-1)\)
  2. \(2s^{7}+28s^{6}+98s^{5}=2s^{5}(s^2+14s+49)=2s^{5}(s+7)^2\)
  3. \(-12y^{15}+147y^{5}=-3y^{5}(4y^{10}-49)=-3y^{5}(2y^5+7)(2y^5-7)\)
  4. \(5s^{7}+40s^{6}+80s^{5}=5s^{5}(s^2+8s+16)=5s^{5}(s+4)^2\)
  5. \(128x^{10}+32x^{7}+2x^{4}=2x^{4}(64x^{6}+16x^3+1)=2x^{4}(8x^3+1)^2\)
  6. \(-5q^{7}+320q^{5}=-5q^{5}(q^2-64)=-5q^{5}(q+8)(q-8)\)
  7. \(27q^{13}-147q^{5}=3q^{5}(9q^{8}-49)=3q^{5}(3q^4+7)(3q^4-7)\)
  8. \(-2q^{5}-4q^{4}-2q^{3}=-2q^{3}(q^2+2q+1)=-2q^{3}(q+1)^2\)
  9. \(80p^{21}-5p^{5}=5p^{5}(16p^{16}-1)=5p^{5}(4p^8+1)(4p^8-1)\)
  10. \(147b^{10}-126b^{6}+27b^{2}=3b^{2}(49b^{8}-42b^4+9)=3b^{2}(7b^4-3)^2\)
  11. \(96y^{14}-294y^{2}=6y^{2}(16y^{12}-49)=6y^{2}(4y^6+7)(4y^6-7)\)
  12. \(-125a^{6}-150a^{5}-45a^{4}=-5a^{4}(25a^{2}+30a+9)=-5a^{4}(5a+3)^2\)
Oefeningengenerator wiskundeoefeningen.be 2026-05-06 09:47:14
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