Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(169y^2+364y+196\)
  2. \(64s^2-p^{16}\)
  3. \(256y^{4}-160y^2+25\)
  4. \(25a^{10}-120a^5p+144p^2\)
  5. \(144b^{6}-168b^3y+49y^2\)
  6. \(s^{10}-100x^2\)
  7. \(64b^2+48b+9\)
  8. \(y^2-26y+169\)
  9. \(16b^{6}-88b^3+121\)
  10. \(100p^2-180p+81\)
  11. \(25x^{16}-36\)
  12. \(49x^2-100a^{10}\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(169y^2+364y+196=(13y+14)^2\)
  2. \(64s^2-p^{16}=(8s-p^8)(8s+p^8)\)
  3. \(256y^{4}-160y^2+25=(16y^2-5)^2\)
  4. \(25a^{10}-120a^5p+144p^2=(5a^5-12p)^2\)
  5. \(144b^{6}-168b^3y+49y^2=(12b^3-7y)^2\)
  6. \(s^{10}-100x^2=(s^5+10x)(s^5-10x)\)
  7. \(64b^2+48b+9=(8b+3)^2\)
  8. \(y^2-26y+169=(y-13)^2\)
  9. \(16b^{6}-88b^3+121=(4b^3-11)^2\)
  10. \(100p^2-180p+81=(10p-9)^2\)
  11. \(25x^{16}-36=(5x^8+6)(5x^8-6)\)
  12. \(49x^2-100a^{10}=(7x-10a^5)(7x+10a^5)\)
Oefeningengenerator wiskundeoefeningen.be 2026-06-22 04:10:32
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