Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(144q^{6}-168q^3s+49s^2\)
  2. \(169a^{6}+104a^3s+16s^2\)
  3. \(256x^{8}+32x^4+1\)
  4. \(s^2-25\)
  5. \(196y^2+28y+1\)
  6. \(121a^2-169\)
  7. \(144p^{8}-121y^2\)
  8. \(x^2+22x+121\)
  9. \(-64p^2+25\)
  10. \(144y^{4}-25\)
  11. \(-144b^2+1\)
  12. \(p^2-9\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(144q^{6}-168q^3s+49s^2=(12q^3-7s)^2\)
  2. \(169a^{6}+104a^3s+16s^2=(13a^3+4s)^2\)
  3. \(256x^{8}+32x^4+1=(16x^4+1)^2\)
  4. \(s^2-25=(s-5)(s+5)\)
  5. \(196y^2+28y+1=(14y+1)^2\)
  6. \(121a^2-169=(11a+13)(11a-13)\)
  7. \(144p^{8}-121y^2=(12p^4+11y)(12p^4-11y)\)
  8. \(x^2+22x+121=(x+11)^2\)
  9. \(-64p^2+25=(5-8p)(5+8p)\)
  10. \(144y^{4}-25=(12y^2+5)(12y^2-5)\)
  11. \(-144b^2+1=(1-12b)(1+12b)\)
  12. \(p^2-9=(p+3)(p-3)\)
Oefeningengenerator wiskundeoefeningen.be 2026-06-18 08:50:09
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