Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(b^2-144\)
  2. \(q^2-81\)
  3. \(100s^{8}-9x^2\)
  4. \(p^2+20p+100\)
  5. \(121a^2-286a+169\)
  6. \(q^2+10q+25\)
  7. \(100q^{10}+140q^5s+49s^2\)
  8. \(p^2-81\)
  9. \(-64a^2+1\)
  10. \(1-49s^{6}\)
  11. \(225a^{10}+120a^5b+16b^2\)
  12. \(16-169x^{16}\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(b^2-144=(b+12)(b-12)\)
  2. \(q^2-81=(q+9)(q-9)\)
  3. \(100s^{8}-9x^2=(10s^4+3x)(10s^4-3x)\)
  4. \(p^2+20p+100=(p+10)^2\)
  5. \(121a^2-286a+169=(11a-13)^2\)
  6. \(q^2+10q+25=(q+5)^2\)
  7. \(100q^{10}+140q^5s+49s^2=(10q^5+7s)^2\)
  8. \(p^2-81=(p-9)(p+9)\)
  9. \(-64a^2+1=(1-8a)(1+8a)\)
  10. \(1-49s^{6}=(1-7s^3)(1+7s^3)\)
  11. \(225a^{10}+120a^5b+16b^2=(15a^5+4b)^2\)
  12. \(16-169x^{16}=(4-13x^8)(4+13x^8)\)
Oefeningengenerator wiskundeoefeningen.be 2026-06-21 18:35:43
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