Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(x^2-20x+100\)
  2. \(4x^2+4x+1\)
  3. \(1-36y^{4}\)
  4. \(-100y^2+121\)
  5. \(49s^2+140s+100\)
  6. \(64y^2-169q^{16}\)
  7. \(9s^{4}+24s^2x+16x^2\)
  8. \(64s^2+144s+81\)
  9. \(25x^{4}-81\)
  10. \(36p^{6}-60p^3y+25y^2\)
  11. \(-256q^2+9\)
  12. \(25p^{8}-70p^4s+49s^2\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(x^2-20x+100=(x-10)^2\)
  2. \(4x^2+4x+1=(2x+1)^2\)
  3. \(1-36y^{4}=(1-6y^2)(1+6y^2)\)
  4. \(-100y^2+121=(11-10y)(11+10y)\)
  5. \(49s^2+140s+100=(7s+10)^2\)
  6. \(64y^2-169q^{16}=(8y-13q^8)(8y+13q^8)\)
  7. \(9s^{4}+24s^2x+16x^2=(3s^2+4x)^2\)
  8. \(64s^2+144s+81=(8s+9)^2\)
  9. \(25x^{4}-81=(5x^2+9)(5x^2-9)\)
  10. \(36p^{6}-60p^3y+25y^2=(6p^3-5y)^2\)
  11. \(-256q^2+9=(3-16q)(3+16q)\)
  12. \(25p^{8}-70p^4s+49s^2=(5p^4-7s)^2\)
Oefeningengenerator wiskundeoefeningen.be 2026-07-26 13:11:18
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