Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(y^2-144\)
  2. \(196-121s^{6}\)
  3. \(25s^{4}+70s^2+49\)
  4. \(169s^{8}-156s^4+36\)
  5. \(9q^2-30q+25\)
  6. \(36p^2-121\)
  7. \(p^2-36\)
  8. \(s^2+14s+49\)
  9. \(b^2-100\)
  10. \(4-81x^{14}\)
  11. \(49y^2-a^{6}\)
  12. \(121y^2-144s^{12}\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(y^2-144=(y-12)(y+12)\)
  2. \(196-121s^{6}=(14-11s^3)(14+11s^3)\)
  3. \(25s^{4}+70s^2+49=(5s^2+7)^2\)
  4. \(169s^{8}-156s^4+36=(13s^4-6)^2\)
  5. \(9q^2-30q+25=(3q-5)^2\)
  6. \(36p^2-121=(6p+11)(6p-11)\)
  7. \(p^2-36=(p-6)(p+6)\)
  8. \(s^2+14s+49=(s+7)^2\)
  9. \(b^2-100=(b-10)(b+10)\)
  10. \(4-81x^{14}=(2-9x^7)(2+9x^7)\)
  11. \(49y^2-a^{6}=(7y-a^3)(7y+a^3)\)
  12. \(121y^2-144s^{12}=(11y-12s^6)(11y+12s^6)\)
Oefeningengenerator wiskundeoefeningen.be 2025-12-12 08:30:40
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