Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(225a^{10}-121y^2\)
  2. \(81x^{10}-234x^5y+169y^2\)
  3. \(25s^2-169a^{12}\)
  4. \(64p^2+144p+81\)
  5. \(25b^{10}+80b^5s+64s^2\)
  6. \(x^2-49\)
  7. \(b^2-36\)
  8. \(p^2-225\)
  9. \(225b^{4}+330b^2y+121y^2\)
  10. \(-25y^2+9\)
  11. \(b^2-16b+64\)
  12. \(169s^2+208s+64\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(225a^{10}-121y^2=(15a^5+11y)(15a^5-11y)\)
  2. \(81x^{10}-234x^5y+169y^2=(9x^5-13y)^2\)
  3. \(25s^2-169a^{12}=(5s-13a^6)(5s+13a^6)\)
  4. \(64p^2+144p+81=(8p+9)^2\)
  5. \(25b^{10}+80b^5s+64s^2=(5b^5+8s)^2\)
  6. \(x^2-49=(x-7)(x+7)\)
  7. \(b^2-36=(b-6)(b+6)\)
  8. \(p^2-225=(p+15)(p-15)\)
  9. \(225b^{4}+330b^2y+121y^2=(15b^2+11y)^2\)
  10. \(-25y^2+9=(3-5y)(3+5y)\)
  11. \(b^2-16b+64=(b-8)^2\)
  12. \(169s^2+208s+64=(13s+8)^2\)
Oefeningengenerator wiskundeoefeningen.be 2026-08-30 11:22:08
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