Tweeterm als gem. factor (3)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

  1. \((8y+1)^2-(40y+5)\)
  2. \((7x+9)(x-4)-(7x+9)(4x-7)\)
  3. \((8y+7)^2+(16y+14)\)
  4. \((p-9)(p+6)-(2p+4)(p-9)\)
  5. \((x+7)(x+3)-(5x-8)(x+7)\)
  6. \((p+4)(p-4)-(2p+1)(p+4)\)
  7. \((8s+4)(s+7)-(8s+4)(5s-7)\)
  8. \((2q+1)^2+(8q+4)\)
  9. \((7p+3)(p-9)-(7p+3)(5p+8)\)
  10. \((4x+2)(x-2)+(4x+2)(3x+1)\)
  11. \((y-7)(y+2)-(5y-7)(y-7)\)
  12. \((9s+5)^2+(45s+25)\)

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

  1. \((8y+1)^2-(40y+5)\\=(8y+1)(8y+1)-5(8y+1)\\=(8y-4)(8y+1)\)
  2. \((7x+9)(x-4)-(7x+9)(4x-7)\\=(7x+9)(x-4-4x+7)\\=(7x+9)(-3x+3)\)
  3. \((8y+7)^2+(16y+14)\\=(8y+7)(8y+7)+2(8y+7)\\=(8y+9)(8y+7)\)
  4. \((p-9)(p+6)-(2p+4)(p-9)\\=(p-9)(p+6-2p-4)\\=(p-9)(-p+2)\)
  5. \((x+7)(x+3)-(5x-8)(x+7)\\=(x+7)(x+3-5x+8)\\=(x+7)(-4x+11)\)
  6. \((p+4)(p-4)-(2p+1)(p+4)\\=(p+4)(p-4-2p-1)\\=(p+4)(-p-5)\)
  7. \((8s+4)(s+7)-(8s+4)(5s-7)\\=(8s+4)(s+7-5s+7)\\=(8s+4)(-4s+14)\)
  8. \((2q+1)^2+(8q+4)\\=(2q+1)(2q+1)+4(2q+1)\\=(2q+5)(2q+1)\)
  9. \((7p+3)(p-9)-(7p+3)(5p+8)\\=(7p+3)(p-9-5p-8)\\=(7p+3)(-4p-17)\)
  10. \((4x+2)(x-2)+(4x+2)(3x+1)\\=(4x+2)(x-2+3x+1)\\=(4x+2)(4x-1)\)
  11. \((y-7)(y+2)-(5y-7)(y-7)\\=(y-7)(y+2-5y+7)\\=(y-7)(-4y+9)\)
  12. \((9s+5)^2+(45s+25)\\=(9s+5)(9s+5)+5(9s+5)\\=(9s+10)(9s+5)\)
Oefeningengenerator wiskundeoefeningen.be 2026-06-06 10:54:51
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