Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(4b^{4}+12b^2p+9p^2\)
  2. \(25-121b^{6}\)
  3. \(144s^2-264s+121\)
  4. \(-121a^2+81\)
  5. \(16s^2-225p^{4}\)
  6. \(144x^{8}+24x^4y+1y^2\)
  7. \(121p^2-144b^{4}\)
  8. \(36x^2-1\)
  9. \(100b^2-1\)
  10. \(169p^{4}-130p^2s+25s^2\)
  11. \(64a^{6}-169b^2\)
  12. \(16s^{6}+40s^3x+25x^2\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(4b^{4}+12b^2p+9p^2=(2b^2+3p)^2\)
  2. \(25-121b^{6}=(5-11b^3)(5+11b^3)\)
  3. \(144s^2-264s+121=(12s-11)^2\)
  4. \(-121a^2+81=(9-11a)(9+11a)\)
  5. \(16s^2-225p^{4}=(4s-15p^2)(4s+15p^2)\)
  6. \(144x^{8}+24x^4y+1y^2=(12x^4+y)^2\)
  7. \(121p^2-144b^{4}=(11p-12b^2)(11p+12b^2)\)
  8. \(36x^2-1=(6x+1)(6x-1)\)
  9. \(100b^2-1=(10b+1)(10b-1)\)
  10. \(169p^{4}-130p^2s+25s^2=(13p^2-5s)^2\)
  11. \(64a^{6}-169b^2=(8a^3+13b)(8a^3-13b)\)
  12. \(16s^{6}+40s^3x+25x^2=(4s^3+5x)^2\)
Oefeningengenerator wiskundeoefeningen.be 2026-07-08 08:53:02
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