Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(169s^2+130s+25\)
  2. \(81-196p^{10}\)
  3. \(256s^2+224s+49\)
  4. \(9s^{10}-49\)
  5. \(36q^{4}-60q^2+25\)
  6. \(9x^2-196s^{10}\)
  7. \(p^2+4p+4\)
  8. \(144p^{6}-168p^3y+49y^2\)
  9. \(25p^2-4b^{16}\)
  10. \(a^2-1\)
  11. \(16b^2+72b+81\)
  12. \(81a^{8}-234a^4+169\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(169s^2+130s+25=(13s+5)^2\)
  2. \(81-196p^{10}=(9-14p^5)(9+14p^5)\)
  3. \(256s^2+224s+49=(16s+7)^2\)
  4. \(9s^{10}-49=(3s^5+7)(3s^5-7)\)
  5. \(36q^{4}-60q^2+25=(6q^2-5)^2\)
  6. \(9x^2-196s^{10}=(3x-14s^5)(3x+14s^5)\)
  7. \(p^2+4p+4=(p+2)^2\)
  8. \(144p^{6}-168p^3y+49y^2=(12p^3-7y)^2\)
  9. \(25p^2-4b^{16}=(5p-2b^8)(5p+2b^8)\)
  10. \(a^2-1=(a+1)(a-1)\)
  11. \(16b^2+72b+81=(4b+9)^2\)
  12. \(81a^{8}-234a^4+169=(9a^4-13)^2\)
Oefeningengenerator wiskundeoefeningen.be 2026-04-12 00:30:19
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