Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(49-100b^{12}\)
  2. \(-169q^2+64\)
  3. \(169s^{4}-225\)
  4. \(225s^{4}-4y^2\)
  5. \(225y^{4}-420y^2+196\)
  6. \(121x^2+88x+16\)
  7. \(196q^2+84q+9\)
  8. \(121s^{6}+22s^3x+1x^2\)
  9. \(169-16x^{14}\)
  10. \(121-36p^{4}\)
  11. \(a^2+4a+4\)
  12. \(256y^2-96y+9\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(49-100b^{12}=(7-10b^6)(7+10b^6)\)
  2. \(-169q^2+64=(8-13q)(8+13q)\)
  3. \(169s^{4}-225=(13s^2+15)(13s^2-15)\)
  4. \(225s^{4}-4y^2=(15s^2+2y)(15s^2-2y)\)
  5. \(225y^{4}-420y^2+196=(15y^2-14)^2\)
  6. \(121x^2+88x+16=(11x+4)^2\)
  7. \(196q^2+84q+9=(14q+3)^2\)
  8. \(121s^{6}+22s^3x+1x^2=(11s^3+x)^2\)
  9. \(169-16x^{14}=(13-4x^7)(13+4x^7)\)
  10. \(121-36p^{4}=(11-6p^2)(11+6p^2)\)
  11. \(a^2+4a+4=(a+2)^2\)
  12. \(256y^2-96y+9=(16y-3)^2\)
Oefeningengenerator wiskundeoefeningen.be 2026-02-11 07:13:31
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