Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(144x^2-1\)
  2. \(b^2-12b+36\)
  3. \(144b^2-264b+121\)
  4. \(100s^{14}-121\)
  5. \(25x^2-81q^{14}\)
  6. \(225p^{12}-49x^2\)
  7. \(9x^2+66x+121\)
  8. \(25p^{4}-140p^2q+196q^2\)
  9. \(x^2-49\)
  10. \(256x^2-480x+225\)
  11. \(4b^{6}+44b^3s+121s^2\)
  12. \(q^2-81\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(144x^2-1=(12x+1)(12x-1)\)
  2. \(b^2-12b+36=(b-6)^2\)
  3. \(144b^2-264b+121=(12b-11)^2\)
  4. \(100s^{14}-121=(10s^7+11)(10s^7-11)\)
  5. \(25x^2-81q^{14}=(5x-9q^7)(5x+9q^7)\)
  6. \(225p^{12}-49x^2=(15p^6+7x)(15p^6-7x)\)
  7. \(9x^2+66x+121=(3x+11)^2\)
  8. \(25p^{4}-140p^2q+196q^2=(5p^2-14q)^2\)
  9. \(x^2-49=(x-7)(x+7)\)
  10. \(256x^2-480x+225=(16x-15)^2\)
  11. \(4b^{6}+44b^3s+121s^2=(2b^3+11s)^2\)
  12. \(q^2-81=(q-9)(q+9)\)
Oefeningengenerator wiskundeoefeningen.be 2026-05-21 01:54:28
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