Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(225p^{6}-4\)
  2. \(b^2-36\)
  3. \(25a^{8}-70a^4x+49x^2\)
  4. \(s^2-24s+144\)
  5. \(49y^2-9\)
  6. \(q^2-49\)
  7. \(81a^2+234a+169\)
  8. \(81p^{10}-196s^2\)
  9. \(36a^{8}-60a^4+25\)
  10. \(a^2+18a+81\)
  11. \(196b^{6}-225q^2\)
  12. \(b^2+8b+16\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(225p^{6}-4=(15p^3+2)(15p^3-2)\)
  2. \(b^2-36=(b-6)(b+6)\)
  3. \(25a^{8}-70a^4x+49x^2=(5a^4-7x)^2\)
  4. \(s^2-24s+144=(s-12)^2\)
  5. \(49y^2-9=(7y+3)(7y-3)\)
  6. \(q^2-49=(q-7)(q+7)\)
  7. \(81a^2+234a+169=(9a+13)^2\)
  8. \(81p^{10}-196s^2=(9p^5+14s)(9p^5-14s)\)
  9. \(36a^{8}-60a^4+25=(6a^4-5)^2\)
  10. \(a^2+18a+81=(a+9)^2\)
  11. \(196b^{6}-225q^2=(14b^3+15q)(14b^3-15q)\)
  12. \(b^2+8b+16=(b+4)^2\)
Oefeningengenerator vanhoeckes.be/wiskunde 2022-06-27 08:17:12