Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(16x^2-120x+225\)
  2. \(225q^{10}+240q^5+64\)
  3. \(169x^2-52x+4\)
  4. \(64p^2+112p+49\)
  5. \(b^2-20b+100\)
  6. \(100q^2-169\)
  7. \(169q^2-312q+144\)
  8. \(144p^{6}-264p^3y+121y^2\)
  9. \(36y^2-1\)
  10. \(9p^2-256a^{4}\)
  11. \(y^2-24y+144\)
  12. \(36a^2-121\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(16x^2-120x+225=(4x-15)^2\)
  2. \(225q^{10}+240q^5+64=(15q^5+8)^2\)
  3. \(169x^2-52x+4=(13x-2)^2\)
  4. \(64p^2+112p+49=(8p+7)^2\)
  5. \(b^2-20b+100=(b-10)^2\)
  6. \(100q^2-169=(10q+13)(10q-13)\)
  7. \(169q^2-312q+144=(13q-12)^2\)
  8. \(144p^{6}-264p^3y+121y^2=(12p^3-11y)^2\)
  9. \(36y^2-1=(6y+1)(6y-1)\)
  10. \(9p^2-256a^{4}=(3p-16a^2)(3p+16a^2)\)
  11. \(y^2-24y+144=(y-12)^2\)
  12. \(36a^2-121=(6a+11)(6a-11)\)
Oefeningengenerator wiskundeoefeningen.be 2026-05-31 11:47:26
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