Tweeterm als gem. factor (3)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

  1. \((6b+5)^2-(30b+25)\)
  2. \((y-8)(y+8)-(2y-6)(y-8)\)
  3. \((4b+3)^2-(16b+12)\)
  4. \((3p-2)^2-(15p-10)\)
  5. \((y+5)(y-6)+(3y+3)(y+5)\)
  6. \((6q+5)(q+7)-(6q+5)(5q+7)\)
  7. \((2p+8)(p-1)-(2p+8)(3p-9)\)
  8. \((3p+7)(p+4)-(3p+7)(4p-1)\)
  9. \((5a+5)(a-9)-(5a+5)(4a+3)\)
  10. \((5a+7)(a+1)-(5a+7)(2a-1)\)
  11. \((8x+1)^2+(40x+5)\)
  12. \((2a+1)^2-(4a+2)\)

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

  1. \((6b+5)^2-(30b+25)\\=(6b+5)(6b+5)-5(6b+5)\\=(6b+0)(6b+5)\)
  2. \((y-8)(y+8)-(2y-6)(y-8)\\=(y-8)(y+8-2y+6)\\=(y-8)(-y+14)\)
  3. \((4b+3)^2-(16b+12)\\=(4b+3)(4b+3)-4(4b+3)\\=(4b-1)(4b+3)\)
  4. \((3p-2)^2-(15p-10)\\=(3p-2)(3p-2)-5(3p-2)\\=(3p-7)(3p-2)\)
  5. \((y+5)(y-6)+(3y+3)(y+5)\\=(y+5)(y-6+3y+3)\\=(y+5)(4y-3)\)
  6. \((6q+5)(q+7)-(6q+5)(5q+7)\\=(6q+5)(q+7-5q-7)\\=(6q+5)(-4q+0)\)
  7. \((2p+8)(p-1)-(2p+8)(3p-9)\\=(2p+8)(p-1-3p+9)\\=(2p+8)(-2p+8)\)
  8. \((3p+7)(p+4)-(3p+7)(4p-1)\\=(3p+7)(p+4-4p+1)\\=(3p+7)(-3p+5)\)
  9. \((5a+5)(a-9)-(5a+5)(4a+3)\\=(5a+5)(a-9-4a-3)\\=(5a+5)(-3a-12)\)
  10. \((5a+7)(a+1)-(5a+7)(2a-1)\\=(5a+7)(a+1-2a+1)\\=(5a+7)(-a+2)\)
  11. \((8x+1)^2+(40x+5)\\=(8x+1)(8x+1)+5(8x+1)\\=(8x+6)(8x+1)\)
  12. \((2a+1)^2-(4a+2)\\=(2a+1)(2a+1)-2(2a+1)\\=(2a-1)(2a+1)\)
Oefeningengenerator wiskundeoefeningen.be 2026-04-22 14:33:33
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