Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(225a^2+210a+49\)
  2. \(16b^{10}+72b^5+81\)
  3. \(-121b^2+196\)
  4. \(121s^2-81\)
  5. \(-81b^2+25\)
  6. \(16-225x^{16}\)
  7. \(81a^{6}-4b^2\)
  8. \(49-9y^{6}\)
  9. \(144a^{12}-49\)
  10. \(16a^{10}-25x^2\)
  11. \(36p^{16}-25y^2\)
  12. \(144b^2-1\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(225a^2+210a+49=(15a+7)^2\)
  2. \(16b^{10}+72b^5+81=(4b^5+9)^2\)
  3. \(-121b^2+196=(14-11b)(14+11b)\)
  4. \(121s^2-81=(11s+9)(11s-9)\)
  5. \(-81b^2+25=(5-9b)(5+9b)\)
  6. \(16-225x^{16}=(4-15x^8)(4+15x^8)\)
  7. \(81a^{6}-4b^2=(9a^3+2b)(9a^3-2b)\)
  8. \(49-9y^{6}=(7-3y^3)(7+3y^3)\)
  9. \(144a^{12}-49=(12a^6+7)(12a^6-7)\)
  10. \(16a^{10}-25x^2=(4a^5+5x)(4a^5-5x)\)
  11. \(36p^{16}-25y^2=(6p^8+5y)(6p^8-5y)\)
  12. \(144b^2-1=(12b+1)(12b-1)\)
Oefeningengenerator wiskundeoefeningen.be 2026-06-17 18:38:42
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