Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(36b^{8}-132b^4+121\)
  2. \(169b^{10}+364b^5s+196s^2\)
  3. \(169p^{8}+26p^4y+1y^2\)
  4. \(169a^{4}-25y^2\)
  5. \(a^2-9\)
  6. \(4a^{8}+52a^4p+169p^2\)
  7. \(100x^{4}+20x^2+1\)
  8. \(169b^2-196a^{14}\)
  9. \(4q^{10}+4q^5+1\)
  10. \(49s^{10}+56s^5+16\)
  11. \(x^2-36\)
  12. \(b^2-25\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(36b^{8}-132b^4+121=(6b^4-11)^2\)
  2. \(169b^{10}+364b^5s+196s^2=(13b^5+14s)^2\)
  3. \(169p^{8}+26p^4y+1y^2=(13p^4+y)^2\)
  4. \(169a^{4}-25y^2=(13a^2+5y)(13a^2-5y)\)
  5. \(a^2-9=(a-3)(a+3)\)
  6. \(4a^{8}+52a^4p+169p^2=(2a^4+13p)^2\)
  7. \(100x^{4}+20x^2+1=(10x^2+1)^2\)
  8. \(169b^2-196a^{14}=(13b-14a^7)(13b+14a^7)\)
  9. \(4q^{10}+4q^5+1=(2q^5+1)^2\)
  10. \(49s^{10}+56s^5+16=(7s^5+4)^2\)
  11. \(x^2-36=(x+6)(x-6)\)
  12. \(b^2-25=(b-5)(b+5)\)
Oefeningengenerator wiskundeoefeningen.be 2026-09-12 07:59:34
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