Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(225y^2-196p^{10}\)
  2. \(256x^2+96x+9\)
  3. \(225y^2-330y+121\)
  4. \(144s^{10}-264s^5+121\)
  5. \(36b^{12}-121\)
  6. \(16y^{10}-88y^5+121\)
  7. \(121s^{8}-81\)
  8. \(16a^{6}+72a^3s+81s^2\)
  9. \(9x^{8}+66x^4y+121y^2\)
  10. \(100q^2+20q+1\)
  11. \(169a^{10}+234a^5b+81b^2\)
  12. \(-36s^2+121\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(225y^2-196p^{10}=(15y-14p^5)(15y+14p^5)\)
  2. \(256x^2+96x+9=(16x+3)^2\)
  3. \(225y^2-330y+121=(15y-11)^2\)
  4. \(144s^{10}-264s^5+121=(12s^5-11)^2\)
  5. \(36b^{12}-121=(6b^6+11)(6b^6-11)\)
  6. \(16y^{10}-88y^5+121=(4y^5-11)^2\)
  7. \(121s^{8}-81=(11s^4+9)(11s^4-9)\)
  8. \(16a^{6}+72a^3s+81s^2=(4a^3+9s)^2\)
  9. \(9x^{8}+66x^4y+121y^2=(3x^4+11y)^2\)
  10. \(100q^2+20q+1=(10q+1)^2\)
  11. \(169a^{10}+234a^5b+81b^2=(13a^5+9b)^2\)
  12. \(-36s^2+121=(11-6s)(11+6s)\)
Oefeningengenerator wiskundeoefeningen.be 2026-07-21 12:01:33
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