Tweeterm als gem. factor (3)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

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

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

  1. \((2q-4)(q+6)+(2q-4)(3q-4)\\=(2q-4)(q+6+3q-4)\\=(2q-4)(4q+2)\)
  2. \((a+1)(a+4)-(4a-5)(a+1)\\=(a+1)(a+4-4a+5)\\=(a+1)(-3a+9)\)
  3. \((6q+1)^2+(18q+3)\\=(6q+1)(6q+1)+3(6q+1)\\=(6q+4)(6q+1)\)
  4. \((5p+4)(p+3)-(5p+4)(2p-4)\\=(5p+4)(p+3-2p+4)\\=(5p+4)(-p+7)\)
  5. \((x+8)(x+5)-(5x-5)(x+8)\\=(x+8)(x+5-5x+5)\\=(x+8)(-4x+10)\)
  6. \((3y+5)(y+8)+(3y+5)(5y+8)\\=(3y+5)(y+8+5y+8)\\=(3y+5)(6y+16)\)
  7. \((5y+8)^2-(15y+24)\\=(5y+8)(5y+8)-3(5y+8)\\=(5y+5)(5y+8)\)
  8. \((p-3)(p-9)+(4p-5)(p-3)\\=(p-3)(p-9+4p-5)\\=(p-3)(5p-14)\)
  9. \((a-7)(a-4)+(5a-8)(a-7)\\=(a-7)(a-4+5a-8)\\=(a-7)(6a-12)\)
  10. \((p+9)^2+(3p+27)\\=(p+9)(p+9)+3(p+9)\\=(p+12)(p+9)\)
  11. \((5p+3)(p+2)-(5p+3)(4p-3)\\=(5p+3)(p+2-4p+3)\\=(5p+3)(-3p+5)\)
  12. \((s-7)(s+2)-(4s-4)(s-7)\\=(s-7)(s+2-4s+4)\\=(s-7)(-3s+6)\)
Oefeningengenerator wiskundeoefeningen.be 2025-06-13 21:18:22
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