Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(81s^2-196\)
  2. \(225s^{4}-210s^2y+49y^2\)
  3. \(p^2-8p+16\)
  4. \(121s^{8}-176s^4+64\)
  5. \(b^2-14b+49\)
  6. \(169y^{8}+208y^4+64\)
  7. \(49q^2-100b^{10}\)
  8. \(4p^2+4p+1\)
  9. \(256s^2+96s+9\)
  10. \(36b^2-60b+25\)
  11. \(196p^{6}-169\)
  12. \(196a^{4}-364a^2y+169y^2\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(81s^2-196=(9s+14)(9s-14)\)
  2. \(225s^{4}-210s^2y+49y^2=(15s^2-7y)^2\)
  3. \(p^2-8p+16=(p-4)^2\)
  4. \(121s^{8}-176s^4+64=(11s^4-8)^2\)
  5. \(b^2-14b+49=(b-7)^2\)
  6. \(169y^{8}+208y^4+64=(13y^4+8)^2\)
  7. \(49q^2-100b^{10}=(7q-10b^5)(7q+10b^5)\)
  8. \(4p^2+4p+1=(2p+1)^2\)
  9. \(256s^2+96s+9=(16s+3)^2\)
  10. \(36b^2-60b+25=(6b-5)^2\)
  11. \(196p^{6}-169=(14p^3+13)(14p^3-13)\)
  12. \(196a^{4}-364a^2y+169y^2=(14a^2-13y)^2\)
Oefeningengenerator wiskundeoefeningen.be 2026-05-08 17:59:25
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