Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(-169s^2+100\)
  2. \(64s^{6}-49y^2\)
  3. \(81-256b^{8}\)
  4. \(4b^2-169\)
  5. \(x^2-196\)
  6. \(169s^{4}-121x^2\)
  7. \(81s^{12}-16x^2\)
  8. \(81s^2-196p^{14}\)
  9. \(36p^2-132p+121\)
  10. \(-64b^2+121\)
  11. \(1-225b^{10}\)
  12. \(s^2+16s+64\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(-169s^2+100=(10-13s)(10+13s)\)
  2. \(64s^{6}-49y^2=(8s^3+7y)(8s^3-7y)\)
  3. \(81-256b^{8}=(9-16b^4)(9+16b^4)\)
  4. \(4b^2-169=(2b+13)(2b-13)\)
  5. \(x^2-196=(x+14)(x-14)\)
  6. \(169s^{4}-121x^2=(13s^2+11x)(13s^2-11x)\)
  7. \(81s^{12}-16x^2=(9s^6+4x)(9s^6-4x)\)
  8. \(81s^2-196p^{14}=(9s-14p^7)(9s+14p^7)\)
  9. \(36p^2-132p+121=(6p-11)^2\)
  10. \(-64b^2+121=(11-8b)(11+8b)\)
  11. \(1-225b^{10}=(1-15b^5)(1+15b^5)\)
  12. \(s^2+16s+64=(s+8)^2\)
Oefeningengenerator wiskundeoefeningen.be 2026-07-05 08:42:41
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