Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(q^2+28q+196\)
  2. \(144x^2+264x+121\)
  3. \(q^2-18q+81\)
  4. \(p^2+20p+100\)
  5. \(-16y^2+169\)
  6. \(36x^2-49a^{14}\)
  7. \(100a^{4}-60a^2y+9y^2\)
  8. \(s^2-4\)
  9. \(16x^{6}+8x^3y+1y^2\)
  10. \(100a^{4}-260a^2q+169q^2\)
  11. \(y^2+26y+169\)
  12. \(y^2-225\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(q^2+28q+196=(q+14)^2\)
  2. \(144x^2+264x+121=(12x+11)^2\)
  3. \(q^2-18q+81=(q-9)^2\)
  4. \(p^2+20p+100=(p+10)^2\)
  5. \(-16y^2+169=(13-4y)(13+4y)\)
  6. \(36x^2-49a^{14}=(6x-7a^7)(6x+7a^7)\)
  7. \(100a^{4}-60a^2y+9y^2=(10a^2-3y)^2\)
  8. \(s^2-4=(s-2)(s+2)\)
  9. \(16x^{6}+8x^3y+1y^2=(4x^3+y)^2\)
  10. \(100a^{4}-260a^2q+169q^2=(10a^2-13q)^2\)
  11. \(y^2+26y+169=(y+13)^2\)
  12. \(y^2-225=(y+15)(y-15)\)
Oefeningengenerator vanhoeckes.be/wiskunde 2023-06-07 18:39:53