Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(16b^{4}+40b^2s+25s^2\)
  2. \(b^2+14b+49\)
  3. \(4a^{14}-9b^2\)
  4. \(49x^{14}-225\)
  5. \(q^2-81\)
  6. \(s^2+28s+196\)
  7. \(100s^{10}+140s^5x+49x^2\)
  8. \(a^2-30a+225\)
  9. \(64x^2-169b^{10}\)
  10. \(q^2-121\)
  11. \(p^2+30p+225\)
  12. \(169x^2+364x+196\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(16b^{4}+40b^2s+25s^2=(4b^2+5s)^2\)
  2. \(b^2+14b+49=(b+7)^2\)
  3. \(4a^{14}-9b^2=(2a^7+3b)(2a^7-3b)\)
  4. \(49x^{14}-225=(7x^7+15)(7x^7-15)\)
  5. \(q^2-81=(q-9)(q+9)\)
  6. \(s^2+28s+196=(s+14)^2\)
  7. \(100s^{10}+140s^5x+49x^2=(10s^5+7x)^2\)
  8. \(a^2-30a+225=(a-15)^2\)
  9. \(64x^2-169b^{10}=(8x-13b^5)(8x+13b^5)\)
  10. \(q^2-121=(q-11)(q+11)\)
  11. \(p^2+30p+225=(p+15)^2\)
  12. \(169x^2+364x+196=(13x+14)^2\)
Oefeningengenerator wiskundeoefeningen.be 2026-08-18 16:30:48
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