Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(100b^{14}-49p^2\)
  2. \(144p^2-168p+49\)
  3. \(9s^2-30s+25\)
  4. \(25x^2-36s^{12}\)
  5. \(25x^2+130x+169\)
  6. \(x^2-81\)
  7. \(a^2-18a+81\)
  8. \(-25x^2+36\)
  9. \(169q^2-49b^{6}\)
  10. \(64y^2+16y+1\)
  11. \(144q^{4}+24q^2+1\)
  12. \(b^2-100\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(100b^{14}-49p^2=(10b^7+7p)(10b^7-7p)\)
  2. \(144p^2-168p+49=(12p-7)^2\)
  3. \(9s^2-30s+25=(3s-5)^2\)
  4. \(25x^2-36s^{12}=(5x-6s^6)(5x+6s^6)\)
  5. \(25x^2+130x+169=(5x+13)^2\)
  6. \(x^2-81=(x-9)(x+9)\)
  7. \(a^2-18a+81=(a-9)^2\)
  8. \(-25x^2+36=(6-5x)(6+5x)\)
  9. \(169q^2-49b^{6}=(13q-7b^3)(13q+7b^3)\)
  10. \(64y^2+16y+1=(8y+1)^2\)
  11. \(144q^{4}+24q^2+1=(12q^2+1)^2\)
  12. \(b^2-100=(b-10)(b+10)\)
Oefeningengenerator wiskundeoefeningen.be 2026-04-03 21:52:40
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