Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(256b^2-9\)
  2. \(121a^{10}+286a^5+169\)
  3. \(256x^2+288x+81\)
  4. \(-100s^2+1\)
  5. \(81p^2-1\)
  6. \(81a^{6}-100p^2\)
  7. \(-100q^2+9\)
  8. \(81a^{10}-72a^5y+16y^2\)
  9. \(25y^{10}-49\)
  10. \(36x^{10}+84x^5+49\)
  11. \(x^2-64\)
  12. \(16x^2-121b^{8}\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(256b^2-9=(16b+3)(16b-3)\)
  2. \(121a^{10}+286a^5+169=(11a^5+13)^2\)
  3. \(256x^2+288x+81=(16x+9)^2\)
  4. \(-100s^2+1=(1-10s)(1+10s)\)
  5. \(81p^2-1=(9p+1)(9p-1)\)
  6. \(81a^{6}-100p^2=(9a^3+10p)(9a^3-10p)\)
  7. \(-100q^2+9=(3-10q)(3+10q)\)
  8. \(81a^{10}-72a^5y+16y^2=(9a^5-4y)^2\)
  9. \(25y^{10}-49=(5y^5+7)(5y^5-7)\)
  10. \(36x^{10}+84x^5+49=(6x^5+7)^2\)
  11. \(x^2-64=(x+8)(x-8)\)
  12. \(16x^2-121b^{8}=(4x-11b^4)(4x+11b^4)\)
Oefeningengenerator wiskundeoefeningen.be 2026-06-24 12:55:10
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