Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(36p^{6}-60p^3y+25y^2\)
  2. \(b^2-100\)
  3. \(256q^{16}-9x^2\)
  4. \(64q^2+240q+225\)
  5. \(100b^2-260b+169\)
  6. \(a^2+14a+49\)
  7. \(4b^{16}-49q^2\)
  8. \(144b^2-264b+121\)
  9. \(4x^{8}+12x^4+9\)
  10. \(s^2-16s+64\)
  11. \(4s^{10}+36s^5x+81x^2\)
  12. \(x^2+12x+36\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(36p^{6}-60p^3y+25y^2=(6p^3-5y)^2\)
  2. \(b^2-100=(b+10)(b-10)\)
  3. \(256q^{16}-9x^2=(16q^8+3x)(16q^8-3x)\)
  4. \(64q^2+240q+225=(8q+15)^2\)
  5. \(100b^2-260b+169=(10b-13)^2\)
  6. \(a^2+14a+49=(a+7)^2\)
  7. \(4b^{16}-49q^2=(2b^8+7q)(2b^8-7q)\)
  8. \(144b^2-264b+121=(12b-11)^2\)
  9. \(4x^{8}+12x^4+9=(2x^4+3)^2\)
  10. \(s^2-16s+64=(s-8)^2\)
  11. \(4s^{10}+36s^5x+81x^2=(2s^5+9x)^2\)
  12. \(x^2+12x+36=(x+6)^2\)
Oefeningengenerator wiskundeoefeningen.be 2026-08-04 14:04:53
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