Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(q^2-81\)
  2. \(121y^{16}-36\)
  3. \(-144p^2+49\)
  4. \(100b^{8}+140b^4s+49s^2\)
  5. \(p^2+10p+25\)
  6. \(225a^2-1\)
  7. \(81-196q^{10}\)
  8. \(121p^2+220p+100\)
  9. \(100p^{6}-169s^2\)
  10. \(x^2-64\)
  11. \(16y^{10}+40y^5+25\)
  12. \(9s^2-25\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(q^2-81=(q-9)(q+9)\)
  2. \(121y^{16}-36=(11y^8+6)(11y^8-6)\)
  3. \(-144p^2+49=(7-12p)(7+12p)\)
  4. \(100b^{8}+140b^4s+49s^2=(10b^4+7s)^2\)
  5. \(p^2+10p+25=(p+5)^2\)
  6. \(225a^2-1=(15a+1)(15a-1)\)
  7. \(81-196q^{10}=(9-14q^5)(9+14q^5)\)
  8. \(121p^2+220p+100=(11p+10)^2\)
  9. \(100p^{6}-169s^2=(10p^3+13s)(10p^3-13s)\)
  10. \(x^2-64=(x-8)(x+8)\)
  11. \(16y^{10}+40y^5+25=(4y^5+5)^2\)
  12. \(9s^2-25=(3s+5)(3s-5)\)
Oefeningengenerator wiskundeoefeningen.be 2026-09-13 11:44:56
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