Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(25b^{6}-140b^3+196\)
  2. \(81p^{12}-100\)
  3. \(49q^{6}+14q^3+1\)
  4. \(x^2+14x+49\)
  5. \(y^2+4y+4\)
  6. \(36q^2-60q+25\)
  7. \(q^2-18q+81\)
  8. \(81s^{10}-234s^5+169\)
  9. \(q^2-121\)
  10. \(169x^{4}+260x^2+100\)
  11. \(100-169s^{4}\)
  12. \(p^2-49\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(25b^{6}-140b^3+196=(5b^3-14)^2\)
  2. \(81p^{12}-100=(9p^6+10)(9p^6-10)\)
  3. \(49q^{6}+14q^3+1=(7q^3+1)^2\)
  4. \(x^2+14x+49=(x+7)^2\)
  5. \(y^2+4y+4=(y+2)^2\)
  6. \(36q^2-60q+25=(6q-5)^2\)
  7. \(q^2-18q+81=(q-9)^2\)
  8. \(81s^{10}-234s^5+169=(9s^5-13)^2\)
  9. \(q^2-121=(q-11)(q+11)\)
  10. \(169x^{4}+260x^2+100=(13x^2+10)^2\)
  11. \(100-169s^{4}=(10-13s^2)(10+13s^2)\)
  12. \(p^2-49=(p+7)(p-7)\)
Oefeningengenerator wiskundeoefeningen.be 2026-07-19 08:01:00
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