Tweeterm als gem. factor (3)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

  1. \((9y-8)^2+(27y-24)\)
  2. \((5a-9)(a-4)-(5a-9)(3a+4)\)
  3. \((3x+5)^2+(9x+15)\)
  4. \((6b-5)^2-(18b-15)\)
  5. \((9a+1)^2-(45a+5)\)
  6. \((7q-3)(q+1)+(7q-3)(3q-9)\)
  7. \((6a+6)(a+3)+(6a+6)(5a+4)\)
  8. \((5y-3)(y-3)-(5y-3)(3y+7)\)
  9. \((8y+3)(y+6)+(8y+3)(5y-5)\)
  10. \((y+2)(y+2)-(2y+8)(y+2)\)
  11. \((2y+6)(y+6)+(2y+6)(5y+3)\)
  12. \((q-6)(q+6)-(3q-3)(q-6)\)

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

  1. \((9y-8)^2+(27y-24)\\=(9y-8)(9y-8)+3(9y-8)\\=(9y-5)(9y-8)\)
  2. \((5a-9)(a-4)-(5a-9)(3a+4)\\=(5a-9)(a-4-3a-4)\\=(5a-9)(-2a-8)\)
  3. \((3x+5)^2+(9x+15)\\=(3x+5)(3x+5)+3(3x+5)\\=(3x+8)(3x+5)\)
  4. \((6b-5)^2-(18b-15)\\=(6b-5)(6b-5)-3(6b-5)\\=(6b-8)(6b-5)\)
  5. \((9a+1)^2-(45a+5)\\=(9a+1)(9a+1)-5(9a+1)\\=(9a-4)(9a+1)\)
  6. \((7q-3)(q+1)+(7q-3)(3q-9)\\=(7q-3)(q+1+3q-9)\\=(7q-3)(4q-8)\)
  7. \((6a+6)(a+3)+(6a+6)(5a+4)\\=(6a+6)(a+3+5a+4)\\=(6a+6)(6a+7)\)
  8. \((5y-3)(y-3)-(5y-3)(3y+7)\\=(5y-3)(y-3-3y-7)\\=(5y-3)(-2y-10)\)
  9. \((8y+3)(y+6)+(8y+3)(5y-5)\\=(8y+3)(y+6+5y-5)\\=(8y+3)(6y+1)\)
  10. \((y+2)(y+2)-(2y+8)(y+2)\\=(y+2)(y+2-2y-8)\\=(y+2)(-y-6)\)
  11. \((2y+6)(y+6)+(2y+6)(5y+3)\\=(2y+6)(y+6+5y+3)\\=(2y+6)(6y+9)\)
  12. \((q-6)(q+6)-(3q-3)(q-6)\\=(q-6)(q+6-3q+3)\\=(q-6)(-2q+9)\)
Oefeningengenerator wiskundeoefeningen.be 2026-09-06 22:35:44
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