Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(s^2+30s+225\)
  2. \(144b^2+24b+1\)
  3. \(1-36q^{12}\)
  4. \(64p^2-9a^{14}\)
  5. \(64y^{8}-80y^4+25\)
  6. \(144s^{10}-168s^5+49\)
  7. \(16p^{6}+40p^3+25\)
  8. \(144s^{14}-121x^2\)
  9. \(144p^{6}-1\)
  10. \(256q^{6}+96q^3x+9x^2\)
  11. \(144p^{8}-264p^4y+121y^2\)
  12. \(-16y^2+81\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(s^2+30s+225=(s+15)^2\)
  2. \(144b^2+24b+1=(12b+1)^2\)
  3. \(1-36q^{12}=(1-6q^6)(1+6q^6)\)
  4. \(64p^2-9a^{14}=(8p-3a^7)(8p+3a^7)\)
  5. \(64y^{8}-80y^4+25=(8y^4-5)^2\)
  6. \(144s^{10}-168s^5+49=(12s^5-7)^2\)
  7. \(16p^{6}+40p^3+25=(4p^3+5)^2\)
  8. \(144s^{14}-121x^2=(12s^7+11x)(12s^7-11x)\)
  9. \(144p^{6}-1=(12p^3+1)(12p^3-1)\)
  10. \(256q^{6}+96q^3x+9x^2=(16q^3+3x)^2\)
  11. \(144p^{8}-264p^4y+121y^2=(12p^4-11y)^2\)
  12. \(-16y^2+81=(9-4y)(9+4y)\)
Oefeningengenerator wiskundeoefeningen.be 2026-03-22 18:49:41
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