Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

  1. \(256q^2+160q+25\)
  2. \(4b^{10}-121\)
  3. \(x^2-144\)
  4. \(9b^{8}-66b^4s+121s^2\)
  5. \(81x^2+90x+25\)
  6. \(144y^{4}-121\)
  7. \(y^2+6y+9\)
  8. \(b^2-16b+64\)
  9. \(49p^{8}+112p^4+64\)
  10. \(9p^{8}-84p^4x+196x^2\)
  11. \(x^2-144\)
  12. \(144x^2-121\)

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

  1. \(256q^2+160q+25=(16q+5)^2\)
  2. \(4b^{10}-121=(2b^5+11)(2b^5-11)\)
  3. \(x^2-144=(x+12)(x-12)\)
  4. \(9b^{8}-66b^4s+121s^2=(3b^4-11s)^2\)
  5. \(81x^2+90x+25=(9x+5)^2\)
  6. \(144y^{4}-121=(12y^2+11)(12y^2-11)\)
  7. \(y^2+6y+9=(y+3)^2\)
  8. \(b^2-16b+64=(b-8)^2\)
  9. \(49p^{8}+112p^4+64=(7p^4+8)^2\)
  10. \(9p^{8}-84p^4x+196x^2=(3p^4-14x)^2\)
  11. \(x^2-144=(x-12)(x+12)\)
  12. \(144x^2-121=(12x+11)(12x-11)\)
Oefeningengenerator wiskundeoefeningen.be 2026-06-05 07:48:26
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