Tweeterm als gem. factor (3)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

  1. \((5a-4)(a+1)+(5a-4)(2a-6)\)
  2. \((3s-7)(s-4)-(3s-7)(2s-4)\)
  3. \((s+7)(s-6)-(2s+6)(s+7)\)
  4. \((8s-5)^2-(16s-10)\)
  5. \((4s+1)(s+8)-(4s+1)(5s+7)\)
  6. \((3s-4)(s-1)+(3s-4)(5s-8)\)
  7. \((2s+5)^2+(6s+15)\)
  8. \((y-5)(y+4)+(2y+3)(y-5)\)
  9. \((y+6)(y+7)+(4y+4)(y+6)\)
  10. \((7y+4)(y-6)+(7y+4)(5y+2)\)
  11. \((2q+5)(q+4)-(2q+5)(5q+1)\)
  12. \((3a+4)^2+(12a+16)\)

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

  1. \((5a-4)(a+1)+(5a-4)(2a-6)\\=(5a-4)(a+1+2a-6)\\=(5a-4)(3a-5)\)
  2. \((3s-7)(s-4)-(3s-7)(2s-4)\\=(3s-7)(s-4-2s+4)\\=(3s-7)(-s+0)\)
  3. \((s+7)(s-6)-(2s+6)(s+7)\\=(s+7)(s-6-2s-6)\\=(s+7)(-s-12)\)
  4. \((8s-5)^2-(16s-10)\\=(8s-5)(8s-5)-2(8s-5)\\=(8s-7)(8s-5)\)
  5. \((4s+1)(s+8)-(4s+1)(5s+7)\\=(4s+1)(s+8-5s-7)\\=(4s+1)(-4s+1)\)
  6. \((3s-4)(s-1)+(3s-4)(5s-8)\\=(3s-4)(s-1+5s-8)\\=(3s-4)(6s-9)\)
  7. \((2s+5)^2+(6s+15)\\=(2s+5)(2s+5)+3(2s+5)\\=(2s+8)(2s+5)\)
  8. \((y-5)(y+4)+(2y+3)(y-5)\\=(y-5)(y+4+2y+3)\\=(y-5)(3y+7)\)
  9. \((y+6)(y+7)+(4y+4)(y+6)\\=(y+6)(y+7+4y+4)\\=(y+6)(5y+11)\)
  10. \((7y+4)(y-6)+(7y+4)(5y+2)\\=(7y+4)(y-6+5y+2)\\=(7y+4)(6y-4)\)
  11. \((2q+5)(q+4)-(2q+5)(5q+1)\\=(2q+5)(q+4-5q-1)\\=(2q+5)(-4q+3)\)
  12. \((3a+4)^2+(12a+16)\\=(3a+4)(3a+4)+4(3a+4)\\=(3a+8)(3a+4)\)
Oefeningengenerator wiskundeoefeningen.be 2026-03-13 00:48:04
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