Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(y^2+20y+100\)
  2. \(x^2-196\)
  3. \(y^2-4\)
  4. \(121s^2-196p^{8}\)
  5. \(100q^{16}-121\)
  6. \(16y^{12}-121\)
  7. \(81y^2-72y+16\)
  8. \(-169x^2+25\)
  9. \(p^2+22p+121\)
  10. \(196q^{4}+28q^2+1\)
  11. \(a^{14}-196p^2\)
  12. \(25p^{8}-140p^4s+196s^2\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(y^2+20y+100=(y+10)^2\)
  2. \(x^2-196=(x+14)(x-14)\)
  3. \(y^2-4=(y+2)(y-2)\)
  4. \(121s^2-196p^{8}=(11s-14p^4)(11s+14p^4)\)
  5. \(100q^{16}-121=(10q^8+11)(10q^8-11)\)
  6. \(16y^{12}-121=(4y^6+11)(4y^6-11)\)
  7. \(81y^2-72y+16=(9y-4)^2\)
  8. \(-169x^2+25=(5-13x)(5+13x)\)
  9. \(p^2+22p+121=(p+11)^2\)
  10. \(196q^{4}+28q^2+1=(14q^2+1)^2\)
  11. \(a^{14}-196p^2=(a^7+14p)(a^7-14p)\)
  12. \(25p^{8}-140p^4s+196s^2=(5p^4-14s)^2\)
Oefeningengenerator wiskundeoefeningen.be 2026-09-20 14:00:55
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