Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(x^2+26x+169\)
  2. \(y^2-9\)
  3. \(q^2-64\)
  4. \(4s^2-25p^{4}\)
  5. \(169x^{10}+26x^5y+1y^2\)
  6. \(36p^2-1\)
  7. \(64s^{4}+16s^2y+1y^2\)
  8. \(256q^2-81\)
  9. \(-9p^2+196\)
  10. \(q^2-28q+196\)
  11. \(16x^{4}-49\)
  12. \(49x^{6}+182x^3+169\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(x^2+26x+169=(x+13)^2\)
  2. \(y^2-9=(y-3)(y+3)\)
  3. \(q^2-64=(q-8)(q+8)\)
  4. \(4s^2-25p^{4}=(2s-5p^2)(2s+5p^2)\)
  5. \(169x^{10}+26x^5y+1y^2=(13x^5+y)^2\)
  6. \(36p^2-1=(6p+1)(6p-1)\)
  7. \(64s^{4}+16s^2y+1y^2=(8s^2+y)^2\)
  8. \(256q^2-81=(16q+9)(16q-9)\)
  9. \(-9p^2+196=(14-3p)(14+3p)\)
  10. \(q^2-28q+196=(q-14)^2\)
  11. \(16x^{4}-49=(4x^2+7)(4x^2-7)\)
  12. \(49x^{6}+182x^3+169=(7x^3+13)^2\)
Oefeningengenerator wiskundeoefeningen.be 2026-09-04 07:26:56
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