Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(81q^2-196\)
  2. \(169x^{8}+390x^4y+225y^2\)
  3. \(y^2-225\)
  4. \(s^2+22s+121\)
  5. \(a^{10}-144b^2\)
  6. \(s^2-14s+49\)
  7. \(9p^2+12p+4\)
  8. \(49-100s^{14}\)
  9. \(36b^{6}-25\)
  10. \(196b^{8}+28b^4x+1x^2\)
  11. \(4a^2+4a+1\)
  12. \(64y^2-225\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(81q^2-196=(9q+14)(9q-14)\)
  2. \(169x^{8}+390x^4y+225y^2=(13x^4+15y)^2\)
  3. \(y^2-225=(y-15)(y+15)\)
  4. \(s^2+22s+121=(s+11)^2\)
  5. \(a^{10}-144b^2=(a^5+12b)(a^5-12b)\)
  6. \(s^2-14s+49=(s-7)^2\)
  7. \(9p^2+12p+4=(3p+2)^2\)
  8. \(49-100s^{14}=(7-10s^7)(7+10s^7)\)
  9. \(36b^{6}-25=(6b^3+5)(6b^3-5)\)
  10. \(196b^{8}+28b^4x+1x^2=(14b^4+x)^2\)
  11. \(4a^2+4a+1=(2a+1)^2\)
  12. \(64y^2-225=(8y+15)(8y-15)\)
Oefeningengenerator wiskundeoefeningen.be 2026-02-02 09:54:38
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