Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(64y^{12}-49\)
  2. \(-9x^2+49\)
  3. \(256x^2-25\)
  4. \(100s^2+140s+49\)
  5. \(256q^{10}+480q^5y+225y^2\)
  6. \(64p^2-81\)
  7. \(4y^2-121\)
  8. \(144b^2-1\)
  9. \(9y^{8}-16\)
  10. \(-25x^2+169\)
  11. \(81q^{4}-169y^2\)
  12. \(x^2+14x+49\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(64y^{12}-49=(8y^6+7)(8y^6-7)\)
  2. \(-9x^2+49=(7-3x)(7+3x)\)
  3. \(256x^2-25=(16x+5)(16x-5)\)
  4. \(100s^2+140s+49=(10s+7)^2\)
  5. \(256q^{10}+480q^5y+225y^2=(16q^5+15y)^2\)
  6. \(64p^2-81=(8p+9)(8p-9)\)
  7. \(4y^2-121=(2y+11)(2y-11)\)
  8. \(144b^2-1=(12b+1)(12b-1)\)
  9. \(9y^{8}-16=(3y^4+4)(3y^4-4)\)
  10. \(-25x^2+169=(13-5x)(13+5x)\)
  11. \(81q^{4}-169y^2=(9q^2+13y)(9q^2-13y)\)
  12. \(x^2+14x+49=(x+7)^2\)
Oefeningengenerator wiskundeoefeningen.be 2026-05-27 18:50:15
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