Tweeterm als gem. factor (3)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

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

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

  1. \((6x-1)(x+2)-(6x-1)(5x-2)\\=(6x-1)(x+2-5x+2)\\=(6x-1)(-4x+4)\)
  2. \((4q+3)^2-(16q+12)\\=(4q+3)(4q+3)-4(4q+3)\\=(4q-1)(4q+3)\)
  3. \((2q+1)^2-(6q+3)\\=(2q+1)(2q+1)-3(2q+1)\\=(2q-2)(2q+1)\)
  4. \((8s+6)(s+7)-(8s+6)(3s-4)\\=(8s+6)(s+7-3s+4)\\=(8s+6)(-2s+11)\)
  5. \((3s+2)(s-9)+(3s+2)(4s+7)\\=(3s+2)(s-9+4s+7)\\=(3s+2)(5s-2)\)
  6. \((3q-7)(q-3)+(3q-7)(4q-2)\\=(3q-7)(q-3+4q-2)\\=(3q-7)(5q-5)\)
  7. \((5s+1)(s+1)+(5s+1)(4s-6)\\=(5s+1)(s+1+4s-6)\\=(5s+1)(5s-5)\)
  8. \((b-4)^2+(3b-12)\\=(b-4)(b-4)+3(b-4)\\=(b-1)(b-4)\)
  9. \((6y-1)(y-2)+(6y-1)(5y+7)\\=(6y-1)(y-2+5y+7)\\=(6y-1)(6y+5)\)
  10. \((q+5)(q+9)-(4q+5)(q+5)\\=(q+5)(q+9-4q-5)\\=(q+5)(-3q+4)\)
  11. \((9p+5)^2-(45p+25)\\=(9p+5)(9p+5)-5(9p+5)\\=(9p+0)(9p+5)\)
  12. \((a-6)(a+6)+(5a-6)(a-6)\\=(a-6)(a+6+5a-6)\\=(a-6)(6a+0)\)
Oefeningengenerator wiskundeoefeningen.be 2026-03-04 04:36:50
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