Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(100s^2-9\)
  2. \(49b^{14}-100x^2\)
  3. \(144-121s^{6}\)
  4. \(p^2-4p+4\)
  5. \(36-49s^{16}\)
  6. \(s^2-10s+25\)
  7. \(a^2+16a+64\)
  8. \(225y^2-s^{4}\)
  9. \(p^2-16\)
  10. \(196-81x^{6}\)
  11. \(169x^{6}-156x^3+36\)
  12. \(49y^{4}-28y^2+4\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(100s^2-9=(10s+3)(10s-3)\)
  2. \(49b^{14}-100x^2=(7b^7+10x)(7b^7-10x)\)
  3. \(144-121s^{6}=(12-11s^3)(12+11s^3)\)
  4. \(p^2-4p+4=(p-2)^2\)
  5. \(36-49s^{16}=(6-7s^8)(6+7s^8)\)
  6. \(s^2-10s+25=(s-5)^2\)
  7. \(a^2+16a+64=(a+8)^2\)
  8. \(225y^2-s^{4}=(15y-s^2)(15y+s^2)\)
  9. \(p^2-16=(p-4)(p+4)\)
  10. \(196-81x^{6}=(14-9x^3)(14+9x^3)\)
  11. \(169x^{6}-156x^3+36=(13x^3-6)^2\)
  12. \(49y^{4}-28y^2+4=(7y^2-2)^2\)
Oefeningengenerator wiskundeoefeningen.be 2026-09-22 14:49:12
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