Tweeterm als gem. factor (3)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

  1. \((8a-2)(a-2)+(8a-2)(3a-9)\)
  2. \((3q-7)(q+1)-(3q-7)(4q-1)\)
  3. \((5s-8)(s-1)+(5s-8)(2s+4)\)
  4. \((3x-5)^2-(15x-25)\)
  5. \((b-8)(b-5)+(3b+4)(b-8)\)
  6. \((a+7)(a+2)+(4a+9)(a+7)\)
  7. \((8y-5)(y-4)+(8y-5)(5y-3)\)
  8. \((7b-3)^2-(14b-6)\)
  9. \((x-1)(x-4)+(4x-8)(x-1)\)
  10. \((y-7)(y+8)+(4y-7)(y-7)\)
  11. \((4x-5)(x-2)+(4x-5)(5x+4)\)
  12. \((2p+3)(p-6)-(2p+3)(5p-7)\)

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

  1. \((8a-2)(a-2)+(8a-2)(3a-9)\\=(8a-2)(a-2+3a-9)\\=(8a-2)(4a-11)\)
  2. \((3q-7)(q+1)-(3q-7)(4q-1)\\=(3q-7)(q+1-4q+1)\\=(3q-7)(-3q+2)\)
  3. \((5s-8)(s-1)+(5s-8)(2s+4)\\=(5s-8)(s-1+2s+4)\\=(5s-8)(3s+3)\)
  4. \((3x-5)^2-(15x-25)\\=(3x-5)(3x-5)-5(3x-5)\\=(3x-10)(3x-5)\)
  5. \((b-8)(b-5)+(3b+4)(b-8)\\=(b-8)(b-5+3b+4)\\=(b-8)(4b-1)\)
  6. \((a+7)(a+2)+(4a+9)(a+7)\\=(a+7)(a+2+4a+9)\\=(a+7)(5a+11)\)
  7. \((8y-5)(y-4)+(8y-5)(5y-3)\\=(8y-5)(y-4+5y-3)\\=(8y-5)(6y-7)\)
  8. \((7b-3)^2-(14b-6)\\=(7b-3)(7b-3)-2(7b-3)\\=(7b-5)(7b-3)\)
  9. \((x-1)(x-4)+(4x-8)(x-1)\\=(x-1)(x-4+4x-8)\\=(x-1)(5x-12)\)
  10. \((y-7)(y+8)+(4y-7)(y-7)\\=(y-7)(y+8+4y-7)\\=(y-7)(5y+1)\)
  11. \((4x-5)(x-2)+(4x-5)(5x+4)\\=(4x-5)(x-2+5x+4)\\=(4x-5)(6x+2)\)
  12. \((2p+3)(p-6)-(2p+3)(5p-7)\\=(2p+3)(p-6-5p+7)\\=(2p+3)(-4p+1)\)
Oefeningengenerator wiskundeoefeningen.be 2026-09-18 11:37:26
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