Tweeterm als gem. factor (3)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

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

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

  1. \((a-6)(a-8)+(2a+4)(a-6)\\=(a-6)(a-8+2a+4)\\=(a-6)(3a-4)\)
  2. \((7y-7)(y+1)-(7y-7)(4y+5)\\=(7y-7)(y+1-4y-5)\\=(7y-7)(-3y-4)\)
  3. \((8q+5)^2+(24q+15)\\=(8q+5)(8q+5)+3(8q+5)\\=(8q+8)(8q+5)\)
  4. \((5p+2)(p-2)+(5p+2)(3p-3)\\=(5p+2)(p-2+3p-3)\\=(5p+2)(4p-5)\)
  5. \((y-4)^2+(2y-8)\\=(y-4)(y-4)+2(y-4)\\=(y-2)(y-4)\)
  6. \((2q+3)^2-(10q+15)\\=(2q+3)(2q+3)-5(2q+3)\\=(2q-2)(2q+3)\)
  7. \((9a-2)^2-(45a-10)\\=(9a-2)(9a-2)-5(9a-2)\\=(9a-7)(9a-2)\)
  8. \((6y-5)(y-9)+(6y-5)(5y-7)\\=(6y-5)(y-9+5y-7)\\=(6y-5)(6y-16)\)
  9. \((b-7)(b+1)-(3b-2)(b-7)\\=(b-7)(b+1-3b+2)\\=(b-7)(-2b+3)\)
  10. \((3b+1)(b+4)-(3b+1)(4b+2)\\=(3b+1)(b+4-4b-2)\\=(3b+1)(-3b+2)\)
  11. \((7s-2)(s-4)+(7s-2)(3s+9)\\=(7s-2)(s-4+3s+9)\\=(7s-2)(4s+5)\)
  12. \((q-9)(q-5)-(4q-7)(q-9)\\=(q-9)(q-5-4q+7)\\=(q-9)(-3q+2)\)
Oefeningengenerator wiskundeoefeningen.be 2026-10-06 15:41:39
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