Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(81p^{4}-36p^2+4\)
  2. \(a^2-10a+25\)
  3. \(49b^2-84b+36\)
  4. \(144a^{12}-49\)
  5. \(-16x^2+121\)
  6. \(100s^2-81\)
  7. \(144s^{4}-168s^2y+49y^2\)
  8. \(p^2+26p+169\)
  9. \(4x^2+44x+121\)
  10. \(36a^{6}-60a^3+25\)
  11. \(36y^2-132y+121\)
  12. \(100b^{4}-260b^2q+169q^2\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(81p^{4}-36p^2+4=(9p^2-2)^2\)
  2. \(a^2-10a+25=(a-5)^2\)
  3. \(49b^2-84b+36=(7b-6)^2\)
  4. \(144a^{12}-49=(12a^6+7)(12a^6-7)\)
  5. \(-16x^2+121=(11-4x)(11+4x)\)
  6. \(100s^2-81=(10s+9)(10s-9)\)
  7. \(144s^{4}-168s^2y+49y^2=(12s^2-7y)^2\)
  8. \(p^2+26p+169=(p+13)^2\)
  9. \(4x^2+44x+121=(2x+11)^2\)
  10. \(36a^{6}-60a^3+25=(6a^3-5)^2\)
  11. \(36y^2-132y+121=(6y-11)^2\)
  12. \(100b^{4}-260b^2q+169q^2=(10b^2-13q)^2\)
Oefeningengenerator wiskundeoefeningen.be 2026-07-09 11:51:15
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