Tweeterm als gem. factor (3)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

  1. \((2p-2)(p-1)+(2p-2)(3p-7)\)
  2. \((5a+1)^2-(25a+5)\)
  3. \((x+4)(x+7)+(3x+2)(x+4)\)
  4. \((6s-1)(s+3)+(6s-1)(5s+3)\)
  5. \((4q+6)(q+4)-(4q+6)(5q+3)\)
  6. \((s+4)(s-3)+(4s+4)(s+4)\)
  7. \((3b+2)^2-(12b+8)\)
  8. \((4a-3)^2-(20a-15)\)
  9. \((7s-5)(s+5)-(7s-5)(2s+7)\)
  10. \((q+7)(q+8)+(2q-2)(q+7)\)
  11. \((8s+8)(s+9)-(8s+8)(5s+3)\)
  12. \((a+4)(a+4)+(2a-6)(a+4)\)

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

  1. \((2p-2)(p-1)+(2p-2)(3p-7)\\=(2p-2)(p-1+3p-7)\\=(2p-2)(4p-8)\)
  2. \((5a+1)^2-(25a+5)\\=(5a+1)(5a+1)-5(5a+1)\\=(5a-4)(5a+1)\)
  3. \((x+4)(x+7)+(3x+2)(x+4)\\=(x+4)(x+7+3x+2)\\=(x+4)(4x+9)\)
  4. \((6s-1)(s+3)+(6s-1)(5s+3)\\=(6s-1)(s+3+5s+3)\\=(6s-1)(6s+6)\)
  5. \((4q+6)(q+4)-(4q+6)(5q+3)\\=(4q+6)(q+4-5q-3)\\=(4q+6)(-4q+1)\)
  6. \((s+4)(s-3)+(4s+4)(s+4)\\=(s+4)(s-3+4s+4)\\=(s+4)(5s+1)\)
  7. \((3b+2)^2-(12b+8)\\=(3b+2)(3b+2)-4(3b+2)\\=(3b-2)(3b+2)\)
  8. \((4a-3)^2-(20a-15)\\=(4a-3)(4a-3)-5(4a-3)\\=(4a-8)(4a-3)\)
  9. \((7s-5)(s+5)-(7s-5)(2s+7)\\=(7s-5)(s+5-2s-7)\\=(7s-5)(-s-2)\)
  10. \((q+7)(q+8)+(2q-2)(q+7)\\=(q+7)(q+8+2q-2)\\=(q+7)(3q+6)\)
  11. \((8s+8)(s+9)-(8s+8)(5s+3)\\=(8s+8)(s+9-5s-3)\\=(8s+8)(-4s+6)\)
  12. \((a+4)(a+4)+(2a-6)(a+4)\\=(a+4)(a+4+2a-6)\\=(a+4)(3a-2)\)
Oefeningengenerator wiskundeoefeningen.be 2026-02-12 04:18:11
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