Tweeterm als gem. factor (3)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

  1. \((b+2)(b+2)-(5b+5)(b+2)\)
  2. \((7q+5)^2+(14q+10)\)
  3. \((2b-5)(b-2)+(2b-5)(5b+5)\)
  4. \((3s-7)(s-9)-(3s-7)(5s+6)\)
  5. \((7q-6)(q+3)-(7q-6)(5q+3)\)
  6. \((y+1)(y+4)-(3y+8)(y+1)\)
  7. \((3y+6)(y+9)+(3y+6)(2y+6)\)
  8. \((3a-8)^2+(9a-24)\)
  9. \((p-5)(p+3)-(3p-2)(p-5)\)
  10. \((3q+7)(q+9)-(3q+7)(4q-2)\)
  11. \((2q+1)^2+(10q+5)\)
  12. \((5p+3)(p-7)+(5p+3)(4p+8)\)

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

  1. \((b+2)(b+2)-(5b+5)(b+2)\\=(b+2)(b+2-5b-5)\\=(b+2)(-4b-3)\)
  2. \((7q+5)^2+(14q+10)\\=(7q+5)(7q+5)+2(7q+5)\\=(7q+7)(7q+5)\)
  3. \((2b-5)(b-2)+(2b-5)(5b+5)\\=(2b-5)(b-2+5b+5)\\=(2b-5)(6b+3)\)
  4. \((3s-7)(s-9)-(3s-7)(5s+6)\\=(3s-7)(s-9-5s-6)\\=(3s-7)(-4s-15)\)
  5. \((7q-6)(q+3)-(7q-6)(5q+3)\\=(7q-6)(q+3-5q-3)\\=(7q-6)(-4q+0)\)
  6. \((y+1)(y+4)-(3y+8)(y+1)\\=(y+1)(y+4-3y-8)\\=(y+1)(-2y-4)\)
  7. \((3y+6)(y+9)+(3y+6)(2y+6)\\=(3y+6)(y+9+2y+6)\\=(3y+6)(3y+15)\)
  8. \((3a-8)^2+(9a-24)\\=(3a-8)(3a-8)+3(3a-8)\\=(3a-5)(3a-8)\)
  9. \((p-5)(p+3)-(3p-2)(p-5)\\=(p-5)(p+3-3p+2)\\=(p-5)(-2p+5)\)
  10. \((3q+7)(q+9)-(3q+7)(4q-2)\\=(3q+7)(q+9-4q+2)\\=(3q+7)(-3q+11)\)
  11. \((2q+1)^2+(10q+5)\\=(2q+1)(2q+1)+5(2q+1)\\=(2q+6)(2q+1)\)
  12. \((5p+3)(p-7)+(5p+3)(4p+8)\\=(5p+3)(p-7+4p+8)\\=(5p+3)(5p+1)\)
Oefeningengenerator wiskundeoefeningen.be 2026-09-02 01:35:56
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