Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(25x^2-144a^{12}\)
  2. \(64y^2-25q^{14}\)
  3. \(36p^{6}-132p^3x+121x^2\)
  4. \(q^2-169\)
  5. \(9-169q^{16}\)
  6. \(16a^2+88a+121\)
  7. \(-144q^2+25\)
  8. \(36x^{4}-25\)
  9. \(1-16b^{6}\)
  10. \(169p^2-156p+36\)
  11. \(x^2-22x+121\)
  12. \(144p^2+24p+1\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(25x^2-144a^{12}=(5x-12a^6)(5x+12a^6)\)
  2. \(64y^2-25q^{14}=(8y-5q^7)(8y+5q^7)\)
  3. \(36p^{6}-132p^3x+121x^2=(6p^3-11x)^2\)
  4. \(q^2-169=(q+13)(q-13)\)
  5. \(9-169q^{16}=(3-13q^8)(3+13q^8)\)
  6. \(16a^2+88a+121=(4a+11)^2\)
  7. \(-144q^2+25=(5-12q)(5+12q)\)
  8. \(36x^{4}-25=(6x^2+5)(6x^2-5)\)
  9. \(1-16b^{6}=(1-4b^3)(1+4b^3)\)
  10. \(169p^2-156p+36=(13p-6)^2\)
  11. \(x^2-22x+121=(x-11)^2\)
  12. \(144p^2+24p+1=(12p+1)^2\)
Oefeningengenerator wiskundeoefeningen.be 2026-06-11 03:16:41
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