Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(16b^2+104b+169\)
  2. \(64b^2-1\)
  3. \(-256q^2+1\)
  4. \(s^2-28s+196\)
  5. \(36x^2+12x+1\)
  6. \(-9a^2+1\)
  7. \(100-9x^{8}\)
  8. \(121q^2-169a^{6}\)
  9. \(36s^2+132s+121\)
  10. \(9y^2-64a^{16}\)
  11. \(196p^2+28p+1\)
  12. \(49a^2-64\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(16b^2+104b+169=(4b+13)^2\)
  2. \(64b^2-1=(8b+1)(8b-1)\)
  3. \(-256q^2+1=(1-16q)(1+16q)\)
  4. \(s^2-28s+196=(s-14)^2\)
  5. \(36x^2+12x+1=(6x+1)^2\)
  6. \(-9a^2+1=(1-3a)(1+3a)\)
  7. \(100-9x^{8}=(10-3x^4)(10+3x^4)\)
  8. \(121q^2-169a^{6}=(11q-13a^3)(11q+13a^3)\)
  9. \(36s^2+132s+121=(6s+11)^2\)
  10. \(9y^2-64a^{16}=(3y-8a^8)(3y+8a^8)\)
  11. \(196p^2+28p+1=(14p+1)^2\)
  12. \(49a^2-64=(7a+8)(7a-8)\)
Oefeningengenerator wiskundeoefeningen.be 2026-07-11 22:08:32
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