Ontbinden in factoren (1)

Hoofdmenu Eentje per keer 

Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(256p^2+416p+169\)
  2. \(144b^{6}-25y^2\)
  3. \(64b^{6}-112b^3+49\)
  4. \(-16x^2+49\)
  5. \(64x^2-25b^{16}\)
  6. \(y^2-1\)
  7. \(121x^2-44x+4\)
  8. \(121q^2-196\)
  9. \(225y^{10}-16\)
  10. \(144b^{8}+24b^4y+1y^2\)
  11. \(a^2-49\)
  12. \(36a^{4}-60a^2+25\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(256p^2+416p+169=(16p+13)^2\)
  2. \(144b^{6}-25y^2=(12b^3+5y)(12b^3-5y)\)
  3. \(64b^{6}-112b^3+49=(8b^3-7)^2\)
  4. \(-16x^2+49=(7-4x)(7+4x)\)
  5. \(64x^2-25b^{16}=(8x-5b^8)(8x+5b^8)\)
  6. \(y^2-1=(y-1)(y+1)\)
  7. \(121x^2-44x+4=(11x-2)^2\)
  8. \(121q^2-196=(11q+14)(11q-14)\)
  9. \(225y^{10}-16=(15y^5+4)(15y^5-4)\)
  10. \(144b^{8}+24b^4y+1y^2=(12b^4+y)^2\)
  11. \(a^2-49=(a+7)(a-7)\)
  12. \(36a^{4}-60a^2+25=(6a^2-5)^2\)
Oefeningengenerator wiskundeoefeningen.be 2026-09-17 20:09:28
Een site van Busleyden Atheneum Mechelen