Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(16x^{4}-120x^2+225\)
  2. \(1-36a^{16}\)
  3. \(49a^{4}+56a^2x+16x^2\)
  4. \(49s^2-225\)
  5. \(y^2+18y+81\)
  6. \(256b^{10}-288b^5s+81s^2\)
  7. \(16s^{10}-56s^5+49\)
  8. \(b^2-2b+1\)
  9. \(25-4s^{6}\)
  10. \(s^2-8s+16\)
  11. \(100a^{6}-9y^2\)
  12. \(64y^2-49\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(16x^{4}-120x^2+225=(4x^2-15)^2\)
  2. \(1-36a^{16}=(1-6a^8)(1+6a^8)\)
  3. \(49a^{4}+56a^2x+16x^2=(7a^2+4x)^2\)
  4. \(49s^2-225=(7s+15)(7s-15)\)
  5. \(y^2+18y+81=(y+9)^2\)
  6. \(256b^{10}-288b^5s+81s^2=(16b^5-9s)^2\)
  7. \(16s^{10}-56s^5+49=(4s^5-7)^2\)
  8. \(b^2-2b+1=(b-1)^2\)
  9. \(25-4s^{6}=(5-2s^3)(5+2s^3)\)
  10. \(s^2-8s+16=(s-4)^2\)
  11. \(100a^{6}-9y^2=(10a^3+3y)(10a^3-3y)\)
  12. \(64y^2-49=(8y+7)(8y-7)\)
Oefeningengenerator wiskundeoefeningen.be 2026-01-13 14:43:13
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