Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(49b^2-224b+256\)
  2. \(16s^{4}-56s^2+49\)
  3. \(64-9q^{16}\)
  4. \(144x^2+120x+25\)
  5. \(49b^{6}+168b^3+144\)
  6. \(196b^{4}+28b^2+1\)
  7. \(225p^{6}-210p^3+49\)
  8. \(16b^2+120b+225\)
  9. \(144p^{10}-264p^5x+121x^2\)
  10. \(144a^2-168a+49\)
  11. \(1-144p^{14}\)
  12. \(81-64y^{16}\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(49b^2-224b+256=(7b-16)^2\)
  2. \(16s^{4}-56s^2+49=(4s^2-7)^2\)
  3. \(64-9q^{16}=(8-3q^8)(8+3q^8)\)
  4. \(144x^2+120x+25=(12x+5)^2\)
  5. \(49b^{6}+168b^3+144=(7b^3+12)^2\)
  6. \(196b^{4}+28b^2+1=(14b^2+1)^2\)
  7. \(225p^{6}-210p^3+49=(15p^3-7)^2\)
  8. \(16b^2+120b+225=(4b+15)^2\)
  9. \(144p^{10}-264p^5x+121x^2=(12p^5-11x)^2\)
  10. \(144a^2-168a+49=(12a-7)^2\)
  11. \(1-144p^{14}=(1-12p^7)(1+12p^7)\)
  12. \(81-64y^{16}=(9-8y^8)(9+8y^8)\)
Oefeningengenerator wiskundeoefeningen.be 2026-02-12 13:15:18
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