Tweeterm als gem. factor (3)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

  1. \((b-7)(b-7)-(3b+1)(b-7)\)
  2. \((8s+2)(s+5)+(8s+2)(3s+3)\)
  3. \((3p+3)(p-6)+(3p+3)(2p+8)\)
  4. \((7p+7)(p-3)-(7p+7)(2p-2)\)
  5. \((a-6)(a-9)+(3a+8)(a-6)\)
  6. \((5q+3)^2+(20q+12)\)
  7. \((3s-5)(s+3)+(3s-5)(4s+9)\)
  8. \((3x+2)(x-6)-(3x+2)(4x-8)\)
  9. \((2a+1)^2+(4a+2)\)
  10. \((p+7)(p-4)+(4p+6)(p+7)\)
  11. \((6x-1)(x+2)+(6x-1)(5x-5)\)
  12. \((q-5)(q+1)-(5q-7)(q-5)\)

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

  1. \((b-7)(b-7)-(3b+1)(b-7)\\=(b-7)(b-7-3b-1)\\=(b-7)(-2b-8)\)
  2. \((8s+2)(s+5)+(8s+2)(3s+3)\\=(8s+2)(s+5+3s+3)\\=(8s+2)(4s+8)\)
  3. \((3p+3)(p-6)+(3p+3)(2p+8)\\=(3p+3)(p-6+2p+8)\\=(3p+3)(3p+2)\)
  4. \((7p+7)(p-3)-(7p+7)(2p-2)\\=(7p+7)(p-3-2p+2)\\=(7p+7)(-p-1)\)
  5. \((a-6)(a-9)+(3a+8)(a-6)\\=(a-6)(a-9+3a+8)\\=(a-6)(4a-1)\)
  6. \((5q+3)^2+(20q+12)\\=(5q+3)(5q+3)+4(5q+3)\\=(5q+7)(5q+3)\)
  7. \((3s-5)(s+3)+(3s-5)(4s+9)\\=(3s-5)(s+3+4s+9)\\=(3s-5)(5s+12)\)
  8. \((3x+2)(x-6)-(3x+2)(4x-8)\\=(3x+2)(x-6-4x+8)\\=(3x+2)(-3x+2)\)
  9. \((2a+1)^2+(4a+2)\\=(2a+1)(2a+1)+2(2a+1)\\=(2a+3)(2a+1)\)
  10. \((p+7)(p-4)+(4p+6)(p+7)\\=(p+7)(p-4+4p+6)\\=(p+7)(5p+2)\)
  11. \((6x-1)(x+2)+(6x-1)(5x-5)\\=(6x-1)(x+2+5x-5)\\=(6x-1)(6x-3)\)
  12. \((q-5)(q+1)-(5q-7)(q-5)\\=(q-5)(q+1-5q+7)\\=(q-5)(-4q+8)\)
Oefeningengenerator wiskundeoefeningen.be 2026-10-10 20:44:55
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