Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(q^2-28q+196\)
  2. \(9a^{14}-25\)
  3. \(64b^{10}+240b^5+225\)
  4. \(p^2-121\)
  5. \(16q^2-120q+225\)
  6. \(81y^2-4s^{8}\)
  7. \(81a^{6}-169s^2\)
  8. \(25-36q^{12}\)
  9. \(36y^{10}-132y^5+121\)
  10. \(121s^2-16\)
  11. \(9q^{4}+78q^2x+169x^2\)
  12. \(256a^{8}-96a^4p+9p^2\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(q^2-28q+196=(q-14)^2\)
  2. \(9a^{14}-25=(3a^7+5)(3a^7-5)\)
  3. \(64b^{10}+240b^5+225=(8b^5+15)^2\)
  4. \(p^2-121=(p-11)(p+11)\)
  5. \(16q^2-120q+225=(4q-15)^2\)
  6. \(81y^2-4s^{8}=(9y-2s^4)(9y+2s^4)\)
  7. \(81a^{6}-169s^2=(9a^3+13s)(9a^3-13s)\)
  8. \(25-36q^{12}=(5-6q^6)(5+6q^6)\)
  9. \(36y^{10}-132y^5+121=(6y^5-11)^2\)
  10. \(121s^2-16=(11s+4)(11s-4)\)
  11. \(9q^{4}+78q^2x+169x^2=(3q^2+13x)^2\)
  12. \(256a^{8}-96a^4p+9p^2=(16a^4-3p)^2\)
Oefeningengenerator wiskundeoefeningen.be 2026-07-29 02:06:59
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