Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(36s^{8}-132s^4+121\)
  2. \(121x^{14}-169\)
  3. \(4b^{12}-25\)
  4. \(256a^{10}+352a^5+121\)
  5. \(s^2+16s+64\)
  6. \(196a^{4}+28a^2+1\)
  7. \(100x^{10}-60x^5+9\)
  8. \(1-256a^{16}\)
  9. \(-100x^2+9\)
  10. \(49-64a^{12}\)
  11. \(p^2-225\)
  12. \(16p^2-24p+9\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(36s^{8}-132s^4+121=(6s^4-11)^2\)
  2. \(121x^{14}-169=(11x^7+13)(11x^7-13)\)
  3. \(4b^{12}-25=(2b^6+5)(2b^6-5)\)
  4. \(256a^{10}+352a^5+121=(16a^5+11)^2\)
  5. \(s^2+16s+64=(s+8)^2\)
  6. \(196a^{4}+28a^2+1=(14a^2+1)^2\)
  7. \(100x^{10}-60x^5+9=(10x^5-3)^2\)
  8. \(1-256a^{16}=(1-16a^8)(1+16a^8)\)
  9. \(-100x^2+9=(3-10x)(3+10x)\)
  10. \(49-64a^{12}=(7-8a^6)(7+8a^6)\)
  11. \(p^2-225=(p+15)(p-15)\)
  12. \(16p^2-24p+9=(4p-3)^2\)
Oefeningengenerator wiskundeoefeningen.be 2026-04-12 16:34:41
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