Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(256p^{14}-49q^2\)
  2. \(25x^2-36\)
  3. \(81p^2-234p+169\)
  4. \(49p^{8}+154p^4y+121y^2\)
  5. \(-36q^2+1\)
  6. \(p^2+6p+9\)
  7. \(49x^2+112x+64\)
  8. \(256p^{8}-288p^4s+81s^2\)
  9. \(-49p^2+100\)
  10. \(144b^{4}+120b^2+25\)
  11. \(-16q^2+169\)
  12. \(100a^{16}-9y^2\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(256p^{14}-49q^2=(16p^7+7q)(16p^7-7q)\)
  2. \(25x^2-36=(5x+6)(5x-6)\)
  3. \(81p^2-234p+169=(9p-13)^2\)
  4. \(49p^{8}+154p^4y+121y^2=(7p^4+11y)^2\)
  5. \(-36q^2+1=(1-6q)(1+6q)\)
  6. \(p^2+6p+9=(p+3)^2\)
  7. \(49x^2+112x+64=(7x+8)^2\)
  8. \(256p^{8}-288p^4s+81s^2=(16p^4-9s)^2\)
  9. \(-49p^2+100=(10-7p)(10+7p)\)
  10. \(144b^{4}+120b^2+25=(12b^2+5)^2\)
  11. \(-16q^2+169=(13-4q)(13+4q)\)
  12. \(100a^{16}-9y^2=(10a^8+3y)(10a^8-3y)\)
Oefeningengenerator wiskundeoefeningen.be 2026-07-29 19:51:30
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