Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(256x^{16}-121\)
  2. \(64y^2-121s^{4}\)
  3. \(a^{6}-144q^2\)
  4. \(b^2-25\)
  5. \(y^2-49\)
  6. \(121a^{4}-44a^2+4\)
  7. \(y^2-16y+64\)
  8. \(121s^2-100a^{6}\)
  9. \(121-225s^{10}\)
  10. \(16x^2-1\)
  11. \(144p^{4}+24p^2+1\)
  12. \(p^2+6p+9\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(256x^{16}-121=(16x^8+11)(16x^8-11)\)
  2. \(64y^2-121s^{4}=(8y-11s^2)(8y+11s^2)\)
  3. \(a^{6}-144q^2=(a^3+12q)(a^3-12q)\)
  4. \(b^2-25=(b-5)(b+5)\)
  5. \(y^2-49=(y+7)(y-7)\)
  6. \(121a^{4}-44a^2+4=(11a^2-2)^2\)
  7. \(y^2-16y+64=(y-8)^2\)
  8. \(121s^2-100a^{6}=(11s-10a^3)(11s+10a^3)\)
  9. \(121-225s^{10}=(11-15s^5)(11+15s^5)\)
  10. \(16x^2-1=(4x+1)(4x-1)\)
  11. \(144p^{4}+24p^2+1=(12p^2+1)^2\)
  12. \(p^2+6p+9=(p+3)^2\)
Oefeningengenerator wiskundeoefeningen.be 2026-02-02 22:17:30
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