Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(9s^{8}+48s^4+64\)
  2. \(49y^{14}-9\)
  3. \(256x^2-25\)
  4. \(100b^2+140b+49\)
  5. \(16b^{4}+8b^2x+1x^2\)
  6. \(64p^{4}-80p^2x+25x^2\)
  7. \(a^2+2a+1\)
  8. \(a^2+30a+225\)
  9. \(49x^2-144a^{4}\)
  10. \(121y^2-220y+100\)
  11. \(-169x^2+16\)
  12. \(36q^{4}-169x^2\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(9s^{8}+48s^4+64=(3s^4+8)^2\)
  2. \(49y^{14}-9=(7y^7+3)(7y^7-3)\)
  3. \(256x^2-25=(16x+5)(16x-5)\)
  4. \(100b^2+140b+49=(10b+7)^2\)
  5. \(16b^{4}+8b^2x+1x^2=(4b^2+x)^2\)
  6. \(64p^{4}-80p^2x+25x^2=(8p^2-5x)^2\)
  7. \(a^2+2a+1=(a+1)^2\)
  8. \(a^2+30a+225=(a+15)^2\)
  9. \(49x^2-144a^{4}=(7x-12a^2)(7x+12a^2)\)
  10. \(121y^2-220y+100=(11y-10)^2\)
  11. \(-169x^2+16=(4-13x)(4+13x)\)
  12. \(36q^{4}-169x^2=(6q^2+13x)(6q^2-13x)\)
Oefeningengenerator wiskundeoefeningen.be 2025-12-12 22:53:00
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