Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(-81s^2+121\)
  2. \(144s^2-121\)
  3. \(x^2-6x+9\)
  4. \(49q^2+14q+1\)
  5. \(64a^{10}+144a^5+81\)
  6. \(q^2-9\)
  7. \(36y^2-25\)
  8. \(16b^{8}+8b^4q+1q^2\)
  9. \(256s^2+480s+225\)
  10. \(-9b^2+1\)
  11. \(s^2+6s+9\)
  12. \(36b^{16}-25s^2\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(-81s^2+121=(11-9s)(11+9s)\)
  2. \(144s^2-121=(12s+11)(12s-11)\)
  3. \(x^2-6x+9=(x-3)^2\)
  4. \(49q^2+14q+1=(7q+1)^2\)
  5. \(64a^{10}+144a^5+81=(8a^5+9)^2\)
  6. \(q^2-9=(q+3)(q-3)\)
  7. \(36y^2-25=(6y+5)(6y-5)\)
  8. \(16b^{8}+8b^4q+1q^2=(4b^4+q)^2\)
  9. \(256s^2+480s+225=(16s+15)^2\)
  10. \(-9b^2+1=(1-3b)(1+3b)\)
  11. \(s^2+6s+9=(s+3)^2\)
  12. \(36b^{16}-25s^2=(6b^8+5s)(6b^8-5s)\)
Oefeningengenerator wiskundeoefeningen.be 2026-04-22 20:45:25
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