Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(-121y^2+9\)
  2. \(144a^{10}-49\)
  3. \(25q^2-81b^{6}\)
  4. \(121s^{4}-100x^2\)
  5. \(100b^2-121\)
  6. \(x^2-18x+81\)
  7. \(a^2+8a+16\)
  8. \(-16p^2+1\)
  9. \(256x^{8}-49\)
  10. \(4a^{6}+44a^3+121\)
  11. \(q^2-8q+16\)
  12. \(169s^2-100a^{6}\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(-121y^2+9=(3-11y)(3+11y)\)
  2. \(144a^{10}-49=(12a^5+7)(12a^5-7)\)
  3. \(25q^2-81b^{6}=(5q-9b^3)(5q+9b^3)\)
  4. \(121s^{4}-100x^2=(11s^2+10x)(11s^2-10x)\)
  5. \(100b^2-121=(10b+11)(10b-11)\)
  6. \(x^2-18x+81=(x-9)^2\)
  7. \(a^2+8a+16=(a+4)^2\)
  8. \(-16p^2+1=(1-4p)(1+4p)\)
  9. \(256x^{8}-49=(16x^4+7)(16x^4-7)\)
  10. \(4a^{6}+44a^3+121=(2a^3+11)^2\)
  11. \(q^2-8q+16=(q-4)^2\)
  12. \(169s^2-100a^{6}=(13s-10a^3)(13s+10a^3)\)
Oefeningengenerator wiskundeoefeningen.be 2026-05-10 01:39:57
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