Tweeterm als gem. factor (3)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

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

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

  1. \((b+8)(b+3)-(5b+8)(b+8)\\=(b+8)(b+3-5b-8)\\=(b+8)(-4b-5)\)
  2. \((q+9)(q-9)-(2q+6)(q+9)\\=(q+9)(q-9-2q-6)\\=(q+9)(-q-15)\)
  3. \((3b+3)(b+7)+(3b+3)(2b-1)\\=(3b+3)(b+7+2b-1)\\=(3b+3)(3b+6)\)
  4. \((5q+5)(q+1)+(5q+5)(4q-3)\\=(5q+5)(q+1+4q-3)\\=(5q+5)(5q-2)\)
  5. \((b+3)^2-(5b+15)\\=(b+3)(b+3)-5(b+3)\\=(b-2)(b+3)\)
  6. \((x-7)(x+7)-(5x+2)(x-7)\\=(x-7)(x+7-5x-2)\\=(x-7)(-4x+5)\)
  7. \((8y-3)(y+6)+(8y-3)(3y-2)\\=(8y-3)(y+6+3y-2)\\=(8y-3)(4y+4)\)
  8. \((s+7)(s+9)-(3s-4)(s+7)\\=(s+7)(s+9-3s+4)\\=(s+7)(-2s+13)\)
  9. \((5q+1)^2-(10q+2)\\=(5q+1)(5q+1)-2(5q+1)\\=(5q-1)(5q+1)\)
  10. \((6q-5)^2-(30q-25)\\=(6q-5)(6q-5)-5(6q-5)\\=(6q-10)(6q-5)\)
  11. \((p-3)(p-5)+(3p-9)(p-3)\\=(p-3)(p-5+3p-9)\\=(p-3)(4p-14)\)
  12. \((2a+3)(a-3)+(2a+3)(3a+9)\\=(2a+3)(a-3+3a+9)\\=(2a+3)(4a+6)\)
Oefeningengenerator wiskundeoefeningen.be 2026-03-24 21:26:48
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