Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(64b^{6}-25q^2\)
  2. \(144b^2-25\)
  3. \(256a^2+32a+1\)
  4. \(16b^{12}-225q^2\)
  5. \(100x^{10}+180x^5+81\)
  6. \(-16y^2+1\)
  7. \(169-100b^{12}\)
  8. \(81q^2-256p^{6}\)
  9. \(121b^{8}-25\)
  10. \(64p^{4}-112p^2x+49x^2\)
  11. \(p^2-8p+16\)
  12. \(81x^{4}-36x^2+4\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(64b^{6}-25q^2=(8b^3+5q)(8b^3-5q)\)
  2. \(144b^2-25=(12b+5)(12b-5)\)
  3. \(256a^2+32a+1=(16a+1)^2\)
  4. \(16b^{12}-225q^2=(4b^6+15q)(4b^6-15q)\)
  5. \(100x^{10}+180x^5+81=(10x^5+9)^2\)
  6. \(-16y^2+1=(1-4y)(1+4y)\)
  7. \(169-100b^{12}=(13-10b^6)(13+10b^6)\)
  8. \(81q^2-256p^{6}=(9q-16p^3)(9q+16p^3)\)
  9. \(121b^{8}-25=(11b^4+5)(11b^4-5)\)
  10. \(64p^{4}-112p^2x+49x^2=(8p^2-7x)^2\)
  11. \(p^2-8p+16=(p-4)^2\)
  12. \(81x^{4}-36x^2+4=(9x^2-2)^2\)
Oefeningengenerator wiskundeoefeningen.be 2026-04-21 15:19:34
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