Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(4a^2+4a+1\)
  2. \(b^2-8b+16\)
  3. \(225x^2-49s^{6}\)
  4. \(36b^{8}-25\)
  5. \(121-64b^{8}\)
  6. \(1-25q^{16}\)
  7. \(16a^{14}-9s^2\)
  8. \(x^2-24x+144\)
  9. \(256s^2-225\)
  10. \(-4s^2+225\)
  11. \(16-225s^{4}\)
  12. \(100x^{4}-169\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(4a^2+4a+1=(2a+1)^2\)
  2. \(b^2-8b+16=(b-4)^2\)
  3. \(225x^2-49s^{6}=(15x-7s^3)(15x+7s^3)\)
  4. \(36b^{8}-25=(6b^4+5)(6b^4-5)\)
  5. \(121-64b^{8}=(11-8b^4)(11+8b^4)\)
  6. \(1-25q^{16}=(1-5q^8)(1+5q^8)\)
  7. \(16a^{14}-9s^2=(4a^7+3s)(4a^7-3s)\)
  8. \(x^2-24x+144=(x-12)^2\)
  9. \(256s^2-225=(16s+15)(16s-15)\)
  10. \(-4s^2+225=(15-2s)(15+2s)\)
  11. \(16-225s^{4}=(4-15s^2)(4+15s^2)\)
  12. \(100x^{4}-169=(10x^2+13)(10x^2-13)\)
Oefeningengenerator wiskundeoefeningen.be 2026-06-14 21:18:10
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