Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(256s^2+224s+49\)
  2. \(25a^{12}-1\)
  3. \(16x^2-49\)
  4. \(p^2-196\)
  5. \(100a^{4}-180a^2p+81p^2\)
  6. \(9s^{8}-48s^4x+64x^2\)
  7. \(169q^2-64p^{6}\)
  8. \(121b^2-286b+169\)
  9. \(b^2-4b+4\)
  10. \(49p^{4}+56p^2+16\)
  11. \(100q^{10}+60q^5x+9x^2\)
  12. \(y^2-2y+1\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(256s^2+224s+49=(16s+7)^2\)
  2. \(25a^{12}-1=(5a^6+1)(5a^6-1)\)
  3. \(16x^2-49=(4x+7)(4x-7)\)
  4. \(p^2-196=(p+14)(p-14)\)
  5. \(100a^{4}-180a^2p+81p^2=(10a^2-9p)^2\)
  6. \(9s^{8}-48s^4x+64x^2=(3s^4-8x)^2\)
  7. \(169q^2-64p^{6}=(13q-8p^3)(13q+8p^3)\)
  8. \(121b^2-286b+169=(11b-13)^2\)
  9. \(b^2-4b+4=(b-2)^2\)
  10. \(49p^{4}+56p^2+16=(7p^2+4)^2\)
  11. \(100q^{10}+60q^5x+9x^2=(10q^5+3x)^2\)
  12. \(y^2-2y+1=(y-1)^2\)
Oefeningengenerator wiskundeoefeningen.be 2026-08-01 10:26:51
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