Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(100y^2-60y+9\)
  2. \(25b^{8}-40b^4s+16s^2\)
  3. \(169-225q^{8}\)
  4. \(144s^{10}-264s^5+121\)
  5. \(49s^{6}-42s^3x+9x^2\)
  6. \(64x^2-81\)
  7. \(169x^{10}+208x^5+64\)
  8. \(p^2-1\)
  9. \(b^2-81\)
  10. \(4p^2+44p+121\)
  11. \(-9s^2+100\)
  12. \(25y^2-121q^{6}\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(100y^2-60y+9=(10y-3)^2\)
  2. \(25b^{8}-40b^4s+16s^2=(5b^4-4s)^2\)
  3. \(169-225q^{8}=(13-15q^4)(13+15q^4)\)
  4. \(144s^{10}-264s^5+121=(12s^5-11)^2\)
  5. \(49s^{6}-42s^3x+9x^2=(7s^3-3x)^2\)
  6. \(64x^2-81=(8x+9)(8x-9)\)
  7. \(169x^{10}+208x^5+64=(13x^5+8)^2\)
  8. \(p^2-1=(p+1)(p-1)\)
  9. \(b^2-81=(b+9)(b-9)\)
  10. \(4p^2+44p+121=(2p+11)^2\)
  11. \(-9s^2+100=(10-3s)(10+3s)\)
  12. \(25y^2-121q^{6}=(5y-11q^3)(5y+11q^3)\)
Oefeningengenerator wiskundeoefeningen.be 2026-06-19 18:08:02
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