Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(y^2-25\)
  2. \(x^2-25\)
  3. \(196y^{4}+28y^2+1\)
  4. \(121y^{10}+264y^5+144\)
  5. \(225x^2+120x+16\)
  6. \(196q^{4}-308q^2+121\)
  7. \(b^2-121\)
  8. \(169q^2-121b^{12}\)
  9. \(-256x^2+25\)
  10. \(q^2-225\)
  11. \(225y^2-420y+196\)
  12. \(p^2+2p+1\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(y^2-25=(y+5)(y-5)\)
  2. \(x^2-25=(x-5)(x+5)\)
  3. \(196y^{4}+28y^2+1=(14y^2+1)^2\)
  4. \(121y^{10}+264y^5+144=(11y^5+12)^2\)
  5. \(225x^2+120x+16=(15x+4)^2\)
  6. \(196q^{4}-308q^2+121=(14q^2-11)^2\)
  7. \(b^2-121=(b+11)(b-11)\)
  8. \(169q^2-121b^{12}=(13q-11b^6)(13q+11b^6)\)
  9. \(-256x^2+25=(5-16x)(5+16x)\)
  10. \(q^2-225=(q-15)(q+15)\)
  11. \(225y^2-420y+196=(15y-14)^2\)
  12. \(p^2+2p+1=(p+1)^2\)
Oefeningengenerator wiskundeoefeningen.be 2026-09-09 03:54:53
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