Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(36q^2-b^{14}\)
  2. \(9q^2-256p^{6}\)
  3. \(x^2-9\)
  4. \(4p^{10}+4p^5y+1y^2\)
  5. \(144a^2-264a+121\)
  6. \(-64p^2+169\)
  7. \(-4b^2+1\)
  8. \(256a^{10}-480a^5q+225q^2\)
  9. \(a^2-30a+225\)
  10. \(p^2-121\)
  11. \(121y^{4}-1\)
  12. \(16s^{10}+8s^5x+1x^2\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(36q^2-b^{14}=(6q-b^7)(6q+b^7)\)
  2. \(9q^2-256p^{6}=(3q-16p^3)(3q+16p^3)\)
  3. \(x^2-9=(x+3)(x-3)\)
  4. \(4p^{10}+4p^5y+1y^2=(2p^5+y)^2\)
  5. \(144a^2-264a+121=(12a-11)^2\)
  6. \(-64p^2+169=(13-8p)(13+8p)\)
  7. \(-4b^2+1=(1-2b)(1+2b)\)
  8. \(256a^{10}-480a^5q+225q^2=(16a^5-15q)^2\)
  9. \(a^2-30a+225=(a-15)^2\)
  10. \(p^2-121=(p-11)(p+11)\)
  11. \(121y^{4}-1=(11y^2+1)(11y^2-1)\)
  12. \(16s^{10}+8s^5x+1x^2=(4s^5+x)^2\)
Oefeningengenerator wiskundeoefeningen.be 2026-07-24 15:58:15
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