Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(225p^{6}-49\)
  2. \(169-64s^{12}\)
  3. \(q^2-49\)
  4. \(a^2+8a+16\)
  5. \(121x^2-286x+169\)
  6. \(49-100y^{16}\)
  7. \(196s^2+28s+1\)
  8. \(169s^2-196q^{8}\)
  9. \(225y^2+210y+49\)
  10. \(36b^{4}+12b^2s+1s^2\)
  11. \(x^2-18x+81\)
  12. \(s^2+6s+9\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(225p^{6}-49=(15p^3+7)(15p^3-7)\)
  2. \(169-64s^{12}=(13-8s^6)(13+8s^6)\)
  3. \(q^2-49=(q-7)(q+7)\)
  4. \(a^2+8a+16=(a+4)^2\)
  5. \(121x^2-286x+169=(11x-13)^2\)
  6. \(49-100y^{16}=(7-10y^8)(7+10y^8)\)
  7. \(196s^2+28s+1=(14s+1)^2\)
  8. \(169s^2-196q^{8}=(13s-14q^4)(13s+14q^4)\)
  9. \(225y^2+210y+49=(15y+7)^2\)
  10. \(36b^{4}+12b^2s+1s^2=(6b^2+s)^2\)
  11. \(x^2-18x+81=(x-9)^2\)
  12. \(s^2+6s+9=(s+3)^2\)
Oefeningengenerator wiskundeoefeningen.be 2026-05-03 15:41:33
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