Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(q^2-16\)
  2. \(64-9q^{16}\)
  3. \(y^2-1\)
  4. \(256p^2+224p+49\)
  5. \(16q^{12}-9y^2\)
  6. \(225b^{4}+330b^2s+121s^2\)
  7. \(25b^2+140b+196\)
  8. \(196p^2-225\)
  9. \(b^{8}-196y^2\)
  10. \(9p^{6}-84p^3+196\)
  11. \(b^2-4b+4\)
  12. \(64-225x^{12}\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(q^2-16=(q-4)(q+4)\)
  2. \(64-9q^{16}=(8-3q^8)(8+3q^8)\)
  3. \(y^2-1=(y+1)(y-1)\)
  4. \(256p^2+224p+49=(16p+7)^2\)
  5. \(16q^{12}-9y^2=(4q^6+3y)(4q^6-3y)\)
  6. \(225b^{4}+330b^2s+121s^2=(15b^2+11s)^2\)
  7. \(25b^2+140b+196=(5b+14)^2\)
  8. \(196p^2-225=(14p+15)(14p-15)\)
  9. \(b^{8}-196y^2=(b^4+14y)(b^4-14y)\)
  10. \(9p^{6}-84p^3+196=(3p^3-14)^2\)
  11. \(b^2-4b+4=(b-2)^2\)
  12. \(64-225x^{12}=(8-15x^6)(8+15x^6)\)
Oefeningengenerator wiskundeoefeningen.be 2026-06-25 20:38:55
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