Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(81-121x^{8}\)
  2. \(64b^{10}-112b^5s+49s^2\)
  3. \(64x^{6}-49\)
  4. \(196b^{4}+420b^2+225\)
  5. \(q^2-36\)
  6. \(-25s^2+36\)
  7. \(121y^2-25b^{8}\)
  8. \(25s^{10}-90s^5+81\)
  9. \(-4s^2+121\)
  10. \(81s^{6}-49y^2\)
  11. \(s^{14}-36y^2\)
  12. \(225s^{4}-121x^2\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(81-121x^{8}=(9-11x^4)(9+11x^4)\)
  2. \(64b^{10}-112b^5s+49s^2=(8b^5-7s)^2\)
  3. \(64x^{6}-49=(8x^3+7)(8x^3-7)\)
  4. \(196b^{4}+420b^2+225=(14b^2+15)^2\)
  5. \(q^2-36=(q-6)(q+6)\)
  6. \(-25s^2+36=(6-5s)(6+5s)\)
  7. \(121y^2-25b^{8}=(11y-5b^4)(11y+5b^4)\)
  8. \(25s^{10}-90s^5+81=(5s^5-9)^2\)
  9. \(-4s^2+121=(11-2s)(11+2s)\)
  10. \(81s^{6}-49y^2=(9s^3+7y)(9s^3-7y)\)
  11. \(s^{14}-36y^2=(s^7+6y)(s^7-6y)\)
  12. \(225s^{4}-121x^2=(15s^2+11x)(15s^2-11x)\)
Oefeningengenerator wiskundeoefeningen.be 2026-08-30 23:42:24
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