Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(225s^2+120s+16\)
  2. \(196q^{4}-25x^2\)
  3. \(196a^2+140a+25\)
  4. \(a^2-25\)
  5. \(16b^{10}-1\)
  6. \(64q^2-81\)
  7. \(x^2-2x+1\)
  8. \(144p^{4}-264p^2+121\)
  9. \(1-169p^{8}\)
  10. \(256b^{8}-288b^4s+81s^2\)
  11. \(a^2+26a+169\)
  12. \(16x^2-225b^{4}\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(225s^2+120s+16=(15s+4)^2\)
  2. \(196q^{4}-25x^2=(14q^2+5x)(14q^2-5x)\)
  3. \(196a^2+140a+25=(14a+5)^2\)
  4. \(a^2-25=(a-5)(a+5)\)
  5. \(16b^{10}-1=(4b^5+1)(4b^5-1)\)
  6. \(64q^2-81=(8q+9)(8q-9)\)
  7. \(x^2-2x+1=(x-1)^2\)
  8. \(144p^{4}-264p^2+121=(12p^2-11)^2\)
  9. \(1-169p^{8}=(1-13p^4)(1+13p^4)\)
  10. \(256b^{8}-288b^4s+81s^2=(16b^4-9s)^2\)
  11. \(a^2+26a+169=(a+13)^2\)
  12. \(16x^2-225b^{4}=(4x-15b^2)(4x+15b^2)\)
Oefeningengenerator wiskundeoefeningen.be 2026-08-28 20:47:45
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