Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(49q^{8}-84q^4s+36s^2\)
  2. \(169y^2-100q^{4}\)
  3. \(36q^{6}-132q^3s+121s^2\)
  4. \(81y^2-49\)
  5. \(49a^{4}+56a^2+16\)
  6. \(s^2-81\)
  7. \(-100y^2+169\)
  8. \(4p^{10}+4p^5q+1q^2\)
  9. \(s^2-64\)
  10. \(196y^2+28y+1\)
  11. \(y^2+14y+49\)
  12. \(-64s^2+1\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(49q^{8}-84q^4s+36s^2=(7q^4-6s)^2\)
  2. \(169y^2-100q^{4}=(13y-10q^2)(13y+10q^2)\)
  3. \(36q^{6}-132q^3s+121s^2=(6q^3-11s)^2\)
  4. \(81y^2-49=(9y+7)(9y-7)\)
  5. \(49a^{4}+56a^2+16=(7a^2+4)^2\)
  6. \(s^2-81=(s-9)(s+9)\)
  7. \(-100y^2+169=(13-10y)(13+10y)\)
  8. \(4p^{10}+4p^5q+1q^2=(2p^5+q)^2\)
  9. \(s^2-64=(s+8)(s-8)\)
  10. \(196y^2+28y+1=(14y+1)^2\)
  11. \(y^2+14y+49=(y+7)^2\)
  12. \(-64s^2+1=(1-8s)(1+8s)\)
Oefeningengenerator wiskundeoefeningen.be 2026-06-15 16:52:54
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